{"id":6986,"date":"2021-07-23T23:22:19","date_gmt":"2021-07-23T14:22:19","guid":{"rendered":"https:\/\/sasamath.com\/blog\/?page_id=6986"},"modified":"2026-09-27T17:01:37","modified_gmt":"2026-09-27T08:01:37","slug":"exponential-and-logarithmic-functions","status":"publish","type":"page","link":"https:\/\/sasamath.com\/blog\/invitation-to-calculus\/exponential-and-logarithmic-functions\/","title":{"rendered":"\uc9c0\uc218\ud568\uc218\uc640 \ub85c\uadf8\ud568\uc218"},"content":{"rendered":"<div style=\"display: none; visibility: hidden;\">\n<style type=\"text\/css\">\n\timg.mfp-img { background-color: white; }\n<\/style>\n<p><!--\n\\[\n\\newcommand{\\vecf}{{\\mathbf{f}}}\n\\newcommand{\\vecL}{{\\mathbf{L}}}\n\\newcommand{\\vecR}{{\\mathbb{R}}}\n\\newcommand{\\imI}{\\boldsymbol{i}}\n\\]\n-->\n<\/div>\n<div class=\"box itc_intro\">\n<p>\uc774 \uae00\uc740 \u300e\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c\u300f 0\uc7a5 7\uc808\uc758 \ub0b4\uc6a9\uc785\ub2c8\ub2e4.&nbsp; <span class=\"itc_viewcontents\">(<a href=\"..\/\">\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c \ucc28\ub840 \ubcf4\uae30<\/a>)<\/span><\/p>\n<\/div>\n<p><!-- ##################################################################### --><\/p>\n<h2 class=\"itc_h2\">\uac70\ub4ed\uc81c\uacf1<\/h2>\n<p>\\(a\\)\uac00 \ubcf5\uc18c\uc218\uc774\uace0 \\(n\\)\uc774 \uc591\uc758 \uc815\uc218\uc77c \ub54c, \uc591\uc758 \uc815\uc218 \uc9c0\uc218\ub97c \uac16\ub294 \uac70\ub4ed\uc81c\uacf1\uc744 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud55c\ub2e4.<br \/>\n\\[<br \/>\na^1=a,<br \/>\n\\qquad<br \/>\na^{n+1}=a^n\\cdot a.<br \/>\n\\]<br \/>\n\ub610\ud55c \\(a\\ne0\\)\uc77c \ub54c<br \/>\n\\[<br \/>\na^0=1,<br \/>\n\\qquad<br \/>\na^{-n}=\\frac{1}{a^n}<br \/>\n\\]<br \/>\n\uc73c\ub85c \uc815\uc758\ud55c\ub2e4. \ub530\ub77c\uc11c \\(0\\)\uc758 \\(0\\)\uc81c\uacf1\uacfc \uc74c\uc758 \uc815\uc218 \uc81c\uacf1\uc740 \uc774 \uc815\uc758\uc5d0 \ud3ec\ud568\uc2dc\ud0a4\uc9c0 \uc54a\ub294\ub2e4.<\/p>\n<p>\uc774\uc81c \ubc11\uc774 \uc591\uc758 \uc2e4\uc218\uc778 \uacbd\uc6b0 \uc9c0\uc218\ub97c \uc720\ub9ac\uc218\uc640 \uc2e4\uc218\ub85c \ud655\uc7a5\ud558\uc790. \uc55e \uc808\uc758 \ucd5c\uc18c\uc0c1\uacc4 \uc131\uc9c8\ub85c\ubd80\ud130 \ub2e4\uc74c \uc0ac\uc2e4\uc744 \uc99d\uba85\ud560 \uc218 \uc788\uc73c\uba70, \uc5ec\uae30\uc11c\ub294 \uc774 \uacb0\uacfc\ub97c \uc99d\uba85 \uc5c6\uc774 \uc0ac\uc6a9\ud55c\ub2e4.<\/p>\n<div class=\"theorem margintop2\">\n<p><span class=\"theorem\">\uc591\uc758 \\(n\\)\uc81c\uacf1\uadfc\uc758 \uc874\uc7ac\uc131\uacfc \uc720\uc77c\uc131.<\/span><\/p>\n<p>\\(a>0\\)\uc774\uace0 \\(n\\)\uc774 \uc591\uc758 \uc815\uc218\uc774\uba74<br \/>\n\\[<br \/>\nb^n=a<br \/>\n\\]<br \/>\n\ub97c \ub9cc\uc871\uc2dc\ud0a4\ub294 \uc591\uc758 \uc2e4\uc218 \\(b\\)\uac00 \uc720\uc77c\ud558\uac8c \uc874\uc7ac\ud55c\ub2e4.<\/p>\n<\/div>\n<p>\uc774 \uc720\uc77c\ud55c \uc591\uc758 \uc2e4\uc218 \\(b\\)\ub97c \\(a\\)\uc758 \uc591\uc758 \\(n\\)\uc81c\uacf1\uadfc\uc774\ub77c\uace0 \ubd80\ub974\uace0<br \/>\n\\[<br \/>\na^{1\/n}=b<br \/>\n\\]<br \/>\n\uc640 \uac19\uc774 \ub098\ud0c0\ub0b8\ub2e4. \uc989<br \/>\n\\[<br \/>\na^{1\/n}=b<br \/>\n\\quad\\Longleftrightarrow\\quad<br \/>\n\\left(a=b^n\\ \\text{and}\\ b>0\\right).<br \/>\n\\]\n<\/p>\n<p>\\(a>0\\)\uc774\uace0 \\(m\\)\uc774 \uc815\uc218, \\(n\\)\uc774 \uc591\uc758 \uc815\uc218\uc77c \ub54c<br \/>\n\\[<br \/>\na^{m\/n}<br \/>\n=<br \/>\n\\left(a^{1\/n}\\right)^m<br \/>\n\\]<br \/>\n\uc73c\ub85c \uc815\uc758\ud55c\ub2e4. \uc774 \uc815\uc758\ub294 \uc720\ub9ac\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \ubd84\uc218\uc758 \uc120\ud0dd\uacfc \uad00\uacc4\uc5c6\ub2e4. \uc2e4\uc81c\ub85c<br \/>\n\\[<br \/>\n\\frac{m}{n}=\\frac{p}{q}<br \/>\n\\]<br \/>\n\ub77c\uace0 \ud558\uace0<br \/>\n\\[<br \/>\nc=a^{1\/(nq)}<br \/>\n\\]<br \/>\n\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74<br \/>\n\\[<br \/>\n(c^q)^n=a,<br \/>\n\\qquad<br \/>\n(c^n)^q=a<br \/>\n\\]<br \/>\n\uc774\ubbc0\ub85c \uc591\uc758 \\(n\\)\uc81c\uacf1\uadfc\uacfc \\(q\\)\uc81c\uacf1\uadfc\uc758 \uc720\uc77c\uc131\uc5d0 \uc758\ud558\uc5ec<br \/>\n\\[<br \/>\nc^q=a^{1\/n},<br \/>\n\\qquad<br \/>\nc^n=a^{1\/q}.<br \/>\n\\]<br \/>\n\ub530\ub77c\uc11c \\(mq=np\\)\ub97c \uc774\uc6a9\ud558\uba74<br \/>\n\\[<br \/>\n\\left(a^{1\/n}\\right)^m<br \/>\n=<br \/>\nc^{qm}<br \/>\n=<br \/>\nc^{np}<br \/>\n=<br \/>\n\\left(a^{1\/q}\\right)^p.<br \/>\n\\]<br \/>\n\uadf8\ub7ec\ubbc0\ub85c \\(a^r\\)\uc740 \ubaa8\ub4e0 \uc720\ub9ac\uc218 \\(r\\)\uc5d0 \ub300\ud558\uc5ec \uc798 \uc815\uc758\ub41c\ub2e4.<\/p>\n<p>\ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc9c0\uc218\ub97c \uc784\uc758\uc758 \uc2e4\uc218\ub85c \ud655\uc7a5\ud558\uc790. \uc55e \uc808\uc758 \ucd5c\uc18c\uc0c1\uacc4 \uc131\uc9c8\ub85c\ubd80\ud130 \uc544\ub974\ud0a4\uba54\ub370\uc2a4 \uc131\uc9c8\uacfc \uc720\ub9ac\uc218\uc758 \uc870\ubc00\uc131\uc744 \uc5bb\uc744 \uc218 \uc788\ub2e4. \uc774 \uc808\uc5d0\uc11c\ub294 \uc774 \ub450 \uacb0\uacfc\ub3c4 \uc99d\uba85 \uc5c6\uc774 \uc0ac\uc6a9\ud55c\ub2e4.<\/p>\n<p>\\(a>1\\)\uc774\uace0 \\(r\\)\uac00 \uc2e4\uc218\uc77c \ub54c<br \/>\n\\[<br \/>\na^r<br \/>\n=<br \/>\n\\sup<br \/>\n\\left\\{<br \/>\na^q<br \/>\n\\,\\middle|\\,<br \/>\nq\\in\\mathbb{Q},\\ q < r\n\\right\\}\n\\]\n\ub85c \uc815\uc758\ud55c\ub2e4. \uc704 \uc9d1\ud569\uc740 \uacf5\uc9d1\ud569\uc774 \uc544\ub2c8\uace0 \uc704\ub85c \uc720\uacc4\uc774\ubbc0\ub85c \ucd5c\uc18c\uc0c1\uacc4\uac00 \uc874\uc7ac\ud55c\ub2e4.<\/p>\n<p>\ub9cc\uc57d<br \/>\n\\[<br \/>\n0 < a < 1\n\\]\n\uc774\uba74\n\\[\na^r\n=\n\\frac{1}{(1\/a)^r}\n\\]\n\ub85c \uc815\uc758\ud558\uace0, \\(a=1\\)\uc774\uba74\n\\[\n1^r=1\n\\]\n\ub85c \uc815\uc758\ud55c\ub2e4.<\/p>\n<p>\uc774 \uc2e4\uc218 \uc9c0\uc218\uc758 \uc815\uc758\uac00 \uc55e\uc5d0\uc11c \uc815\uc758\ud55c \uc720\ub9ac\uc218 \uc9c0\uc218\uc640 \uc77c\uce58\ud558\uace0, \ub2e4\uc74c \uc9c0\uc218 \ubc95\uce59\uc744 \ub9cc\uc871\uc2dc\ud0a8\ub2e4\ub294 \uac83\uc740 \ucd5c\uc18c\uc0c1\uacc4\uc758 \uc131\uc9c8\uc744 \uc774\uc6a9\ud558\uc5ec \uc99d\uba85\ud560 \uc218 \uc788\ub2e4. \uadf8 \uc99d\uba85\uc740 \uc774 \uc808\uc758 \ubc94\uc704\ub97c \ub118\uc5b4\uac00\ubbc0\ub85c \uc5ec\uae30\uc11c\ub294 \uc0dd\ub7b5\ud55c\ub2e4.<\/p>\n<div class=\"theorem margintop2\">\n<p><span class=\"theorem\">\uc815\ub9ac 0.7.1. (\uc9c0\uc218 \ubc95\uce59)<\/span><\/p>\n<p>\\(a>0,\\) \\(b>0\\)\uc774\uace0 \\(r,s\\)\uac00 \uc2e4\uc218\uc77c \ub54c \ub2e4\uc74c\uc774 \uc131\ub9bd\ud55c\ub2e4.<\/p>\n<ol class=\"bracket\">\n<li>\\(a^r a^s=a^{r+s}\\).<\/li>\n<li>\\((ab)^r=a^r b^r\\).<\/li>\n<li>\\(\\left(a^r\\right)^s=a^{rs}\\).<\/li>\n<\/ol>\n<\/div>\n<p><!-- ##################################################################### --><\/p>\n<h2 class=\"itc_h2\">\uc9c0\uc218\ud568\uc218<\/h2>\n<p>\\(a>0\\)\uc774\uba74 \ubaa8\ub4e0 \uc2e4\uc218 \\(x\\)\uc5d0 \ub300\ud558\uc5ec \\(a^x\\)\uc774 \uc815\uc758\ub418\uace0<br \/>\n\\[<br \/>\na^x>0.<br \/>\n\\]<br \/>\n\ub530\ub77c\uc11c<br \/>\n\\[<br \/>\nf:\\mathbb{R}\\rightarrow(0,\\infty),<br \/>\n\\qquad<br \/>\nf(x)=a^x<br \/>\n\\]<br \/>\n\ub85c \ud568\uc218\ub97c \uc815\uc758\ud560 \uc218 \uc788\ub2e4.<\/p>\n<p>\uc774 \ucc45\uc5d0\uc11c\ub294 \\(a>0\\)\uc774\uace0 \\(a\\ne1\\)\uc77c \ub54c \ud568\uc218<br \/>\n\\[<br \/>\nf(x)=a^x<br \/>\n\\]<br \/>\n\ub97c <span class=\"defined\">\ubc11\uc774 \\(\\boldsymbol{a}\\)\uc778 \uc9c0\uc218\ud568\uc218<\/span>(exponential function of base \\(a\\))\ub77c\uace0 \ubd80\ub978\ub2e4. \\(a=1\\)\uc774\uba74 \\(f(x)=1\\)\uc778 \uc0c1\uc218\ud568\uc218\uac00 \ub41c\ub2e4.<\/p>\n<p>\uc2e4\uc218 \uc9c0\uc218\uc758 \uad6c\uc131\uacfc \ucd5c\uc18c\uc0c1\uacc4 \uc131\uc9c8\ub85c\ubd80\ud130 \ub2e4\uc74c \uc0ac\uc2e4\uc744 \uc99d\uba85\ud560 \uc218 \uc788\uc73c\uba70, \uc5ec\uae30\uc11c\ub294 \uc99d\uba85 \uc5c6\uc774 \uc0ac\uc6a9\ud55c\ub2e4.<\/p>\n<ul>\n<li>\\(a>1\\)\uc774\uba74 \\(x\\mapsto a^x\\)\uc740 \uc5c4\ubc00\ud788 \uc99d\uac00\ud55c\ub2e4.<\/li>\n<li>\\(0 < a < 1\\)\uc774\uba74 \\(x\\mapsto a^x\\)\uc740 \uc5c4\ubc00\ud788 \uac10\uc18c\ud55c\ub2e4.<\/li>\n<li>\\(a>0\\)\uc774\uace0 \\(a\\ne1\\)\uc774\uba74<br \/>\n\\[<br \/>\nx\\mapsto a^x<br \/>\n\\]<br \/>\n\uc740 \\(\\mathbb{R}\\)\uc5d0\uc11c \\((0,\\infty)\\)\ub85c\uc758 \uc77c\ub300\uc77c \ub300\uc751\uc774\ub2e4.<\/li>\n<\/ul>\n<div style=\"margin-top: 1.5em; margin-bottom: 1.5em;\">\n<img fetchpriority=\"high\" decoding=\"async\" src=\"\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog01-02.png\" alt=\"\" width=\"517\" height=\"183\" class=\"aligncenter size-full wp-image-7103\" \/>\n<\/div>\n<p><!-- ##################################################################### --><\/p>\n<h2 class=\"itc_h2\">\ub85c\uadf8\ud568\uc218<\/h2>\n<p>\\(a>0\\)\uc774\uace0 \\(a\\ne1\\)\uc774\ub77c\uace0 \ud558\uc790. \uc9c0\uc218\ud568\uc218<br \/>\n\\[<br \/>\nx\\mapsto a^x<br \/>\n\\]<br \/>\n\uc740 \\(\\mathbb{R}\\)\uc5d0\uc11c \\((0,\\infty)\\)\ub85c\uc758 \uc77c\ub300\uc77c \ub300\uc751\uc774\ubbc0\ub85c \uc5ed\ud568\uc218\ub97c \uac00\uc9c4\ub2e4.<\/p>\n<p>\\(x>0\\)\uc77c \ub54c \\(a^y=x\\)\ub97c \ub9cc\uc871\uc2dc\ud0a4\ub294 \uc720\uc77c\ud55c \uc2e4\uc218 \\(y\\)\ub97c<br \/>\n\\[<br \/>\n\\log_a x<br \/>\n\\]<br \/>\n\ub85c \ub098\ud0c0\ub0b8\ub2e4. \uc989<br \/>\n\\[<br \/>\ny=\\log_a x<br \/>\n\\quad\\Longleftrightarrow\\quad<br \/>\na^y=x.<br \/>\n\\]<br \/>\n\ud568\uc218<br \/>\n\\[<br \/>\n\\log_a:(0,\\infty)\\rightarrow\\mathbb{R}<br \/>\n\\]<br \/>\n\ub97c <span class=\"defined\">\ubc11\uc774 \\(\\boldsymbol{a}\\)\uc778 \ub85c\uadf8\ud568\uc218<\/span>(logarithmic function of base \\(a\\))\ub77c\uace0 \ubd80\ub978\ub2e4.<\/p>\n<p>\ub85c\uadf8\ud568\uc218\ub294 \uc9c0\uc218\ud568\uc218\uc758 \uc5ed\ud568\uc218\uc774\ubbc0\ub85c \\(a>1\\)\uc774\uba74 \uc5c4\ubc00\ud788 \uc99d\uac00\ud558\uace0,<br \/>\n\\[<br \/>\n0 < a < 1\n\\]\n\uc774\uba74 \uc5c4\ubc00\ud788 \uac10\uc18c\ud55c\ub2e4.<\/p>\n<div style=\"margin-top: 1.5em; margin-bottom: 1.5em;\">\n<img decoding=\"async\" src=\"\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04.png\" alt=\"\" width=\"390\" height=\"219\" class=\"aligncenter size-full wp-image-7104\" srcset=\"https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04.png 2340w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-300x168.png 300w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-1024x574.png 1024w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-768x431.png 768w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-1536x861.png 1536w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-2048x1148.png 2048w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-1920x1077.png 1920w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-1170x656.png 1170w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/calculus_00-07_explog03-04-585x328.png 585w\" sizes=\"(max-width: 390px) 100vw, 390px\" \/>\n<\/div>\n<p>\uc9c0\uc218\ud568\uc218\uc640 \ub85c\uadf8\ud568\uc218\ub294 \ubaa8\ub450 \uc5f0\uc18d\ud568\uc218\uc774\ub2e4. \uc5f0\uc18d\uc758 \uc815\uc758\uc640 \uc774 \uc0ac\uc2e4\uc758 \uc99d\uba85\uc740 4\uc7a5\uc5d0\uc11c \uc0b4\ud3b4\ubcfc \uac83\uc774\ub2e4.<\/p>\n<p>\ub85c\uadf8\ud568\uc218\uac00 \uc9c0\uc218\ud568\uc218\uc758 \uc5ed\ud568\uc218\uc774\ubbc0\ub85c \ub85c\uadf8\ud568\uc218\uc758 \uae30\ubcf8 \uc131\uc9c8\uc740 \uc9c0\uc218 \ubc95\uce59\uc73c\ub85c\ubd80\ud130 \uc5bb\uc5b4\uc9c4\ub2e4.<\/p>\n<div class=\"theorem margintop2\">\n<p><span class=\"theorem\">\uc815\ub9ac 0.7.2. (\ub85c\uadf8 \ubc95\uce59)<\/span><\/p>\n<p>\\(a>0,\\) \\(a\\ne1,\\) \\(b>0,\\) \\(b\\ne1\\)\uc774\uace0 \\(x,y>0,\\) \\(r\\in\\mathbb{R}\\)\uc774\ub77c\uace0 \ud558\uc790. \uc774\ub54c \ub2e4\uc74c\uc774 \uc131\ub9bd\ud55c\ub2e4.<\/p>\n<ol class=\"bracket\">\n<li>\\(\\log_a(xy)=\\log_a x+\\log_a y\\).<\/li>\n<li>\\(\\displaystyle \\log_a\\frac{x}{y}=\\log_a x-\\log_a y\\).<\/li>\n<li>\\(\\log_a(x^r)=r\\log_a x\\).<\/li>\n<li>\\(\\displaystyle \\log_b x=\\frac{\\log_a x}{\\log_a b}\\).<\/li>\n<\/ol>\n<\/div>\n<div class=\"proof\">\n<p class=\"proofname\">\uc99d\uba85.<\/p>\n<p>(1) \\(u=\\log_a x\\), \\(v=\\log_a y\\)\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74<br \/>\n\\[<br \/>\nx=a^u,<br \/>\n\\qquad<br \/>\ny=a^v.<br \/>\n\\]<br \/>\n\uc9c0\uc218 \ubc95\uce59\uc5d0 \uc758\ud558\uc5ec<br \/>\n\\[<br \/>\nxy=a^u a^v=a^{u+v}.<br \/>\n\\]<br \/>\n\ub530\ub77c\uc11c \ub85c\uadf8\ud568\uc218\uc758 \uc815\uc758\uc5d0 \uc758\ud558\uc5ec<br \/>\n\\[<br \/>\n\\log_a(xy)=u+v<br \/>\n=<br \/>\n\\log_a x+\\log_a y.<br \/>\n\\]\n<\/p>\n<p>(2) \uac19\uc740 \ubc29\ubc95\uc73c\ub85c<br \/>\n\\[<br \/>\n\\frac{x}{y}<br \/>\n=<br \/>\n\\frac{a^u}{a^v}<br \/>\n=<br \/>\na^{u-v}<br \/>\n\\]<br \/>\n\uc774\ubbc0\ub85c<br \/>\n\\[<br \/>\n\\log_a\\frac{x}{y}<br \/>\n=<br \/>\nu-v<br \/>\n=<br \/>\n\\log_a x-\\log_a y.<br \/>\n\\]\n<\/p>\n<p>(3) \\(u=\\log_a x\\)\ub77c\uace0 \ud558\uba74 \\(x=a^u\\)\uc774\ub2e4. \ub530\ub77c\uc11c \uc9c0\uc218 \ubc95\uce59\uc5d0 \uc758\ud558\uc5ec<br \/>\n\\[<br \/>\nx^r<br \/>\n=<br \/>\n(a^u)^r<br \/>\n=<br \/>\na^{ur}.<br \/>\n\\]<br \/>\n\uadf8\ub7ec\ubbc0\ub85c<br \/>\n\\[<br \/>\n\\log_a(x^r)<br \/>\n=<br \/>\nur<br \/>\n=<br \/>\nr\\log_a x.<br \/>\n\\]\n<\/p>\n<p>(4) \\(t=\\log_b x\\)\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74<br \/>\n\\[<br \/>\nb^t=x.<br \/>\n\\]<br \/>\n\uc591\ubcc0\uc5d0 \ubc11\uc774 \\(a\\)\uc778 \ub85c\uadf8\ub97c \ucde8\ud558\uace0 (3)\uc744 \uc774\uc6a9\ud558\uba74<br \/>\n\\[<br \/>\nt\\log_a b=\\log_a x.<br \/>\n\\]<br \/>\n\\(b\\ne1\\)\uc774\ubbc0\ub85c \\(\\log_a b\\ne0\\)\uc774\ub2e4. \ub530\ub77c\uc11c<br \/>\n\\[<br \/>\nt<br \/>\n=<br \/>\n\\frac{\\log_a x}{\\log_a b}.<br \/>\n\\]<br \/>\n\uc989<br \/>\n\\[<br \/>\n\\log_b x<br \/>\n=<br \/>\n\\frac{\\log_a x}{\\log_a b}.<br \/>\n\\]<br \/>\n<span class=\"qed\"><\/span><\/p>\n<\/div>\n<p><!-- ##################################################################### --><br \/>\n<!--\n\n\n<h2 class=\"itc_h2\">\uc81c\ubaa9<\/h2>\n\n\n--><\/p>\n<p><!--\n\n\n\n<div class=\"theorem margintop2\">\n\n\n<p><span class=\"theorem\">\uc815\ub9ac 1.<\/span>\n\n\n<\/p>\n\n<\/div>\n\n\n\n\n\n<div class=\"proof\">\n\n\n<p class=\"proofname\">\uc99d\uba85.<\/p>\n\n\n\n\n<p>\n\n<span class=\"qed\"><\/span><\/p>\n\n<\/div>\n\n\n\n\n########\n\n\u201c\u201d\n\u2018\u2019\n\n\n\n<div class=\"example\">\n\n\n<p><span class=\"example\">\ubcf4\uae30 1.<\/span>\n\n<\/p>\n\n<\/div>\n\n\n\n\n\n<h2 class=\"itc_h2\"><\/h2>\n\n\n\n--><\/p>\n<p><!--\n\n\n<div style=\"display: none; visibility: hidden;\">\n\\[\n\\newcommand{\\Hom}{{\\operatorname{Hom}}}\n\\newcommand{\\Mat}{{\\operatorname{Mat}}}\n\\newcommand{\\proj}{{\\operatorname{proj}}}\n\\newcommand{\\adj}{{\\operatorname{adj}}}\n\\]\n<\/div>\n\n\n--><\/p>\n<div class=\"box itc_prev_next_box\">\n<ul class=\"itc_ul\">\n<li class=\"itc_li_prev\">\uc55e\uc758 \uae00 : <a href=\"..\/trigonometric-functions\">\uc0bc\uac01\ud568\uc218<\/a><\/li>\n<li class=\"itc_li_next\">\ub2e4\uc74c \uae00 : <a href=\"..\/euclidean-spaces\">\uc720\ud074\ub9ac\ub4dc \uacf5\uac04<\/a><\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \uae00\uc740 \u300e\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c\u300f 0\uc7a5 7\uc808\uc758 \ub0b4\uc6a9\uc785\ub2c8\ub2e4.&nbsp; (\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c \ucc28\ub840 \ubcf4\uae30) \uac70\ub4ed\uc81c\uacf1 \\(a\\)\uac00 \ubcf5\uc18c\uc218\uc774\uace0 \\(n\\)\uc774 \uc591\uc758 \uc815\uc218\uc77c \ub54c, \uc591\uc758 \uc815\uc218 \uc9c0\uc218\ub97c \uac16\ub294 \uac70\ub4ed\uc81c\uacf1\uc744 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud55c\ub2e4. \\( a^1=a, \\qquad a^{n+1}=a^n\\cdot a. \\) \ub610\ud55c \\(a\\ne0\\)\uc77c \ub54c \\( a^0=1, \\qquad a^{-n}=\\frac{1}{a^n} \\) \uc73c\ub85c \uc815\uc758\ud55c\ub2e4. \ub530\ub77c\uc11c \\(0\\)\uc758 \\(0\\)\uc81c\uacf1\uacfc \uc74c\uc758 \uc815\uc218 \uc81c\uacf1\uc740 \uc774 \uc815\uc758\uc5d0 \ud3ec\ud568\uc2dc\ud0a4\uc9c0 \uc54a\ub294\ub2e4. \uc774\uc81c \ubc11\uc774 \uc591\uc758 \uc2e4\uc218\uc778 \uacbd\uc6b0 \uc9c0\uc218\ub97c \uc720\ub9ac\uc218\uc640 \uc2e4\uc218\ub85c \ud655\uc7a5\ud558\uc790. \uc55e \uc808\uc758 \ucd5c\uc18c\uc0c1\uacc4&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":6620,"menu_order":17,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"class_list":["post-6986","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6986","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/comments?post=6986"}],"version-history":[{"count":28,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6986\/revisions"}],"predecessor-version":[{"id":10129,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6986\/revisions\/10129"}],"up":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6620"}],"wp:attachment":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/media?parent=6986"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}