常用対数表(1，2，･･･，10)

$3$\displaystyle{X}$	$3$\displaystyle{\log $X$ }$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }1}$	$3$\displaystyle{0}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }2}$	$3$\displaystyle{0.3010}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }3}$	$3$\displaystyle{0.4771}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }4}$	$3$\displaystyle{0.6021}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }5}$	$3$\displaystyle{0.6990}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }6}$	$3$\displaystyle{0.7782}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }7}$	$3$\displaystyle{0.8451}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }8}$	$3$\displaystyle{0.9031}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }9}$	$3$\displaystyle{0.9542}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }10}$	$3$\displaystyle{1}$

上記の表では小数点以下4桁で表示

対数計算の基本(4，5)から，次の値がもとまる．

$3$\displaystyle{\hspace{1}{\log }_{ 10 }1}$ $3$\displaystyle{=0}$

$3$\displaystyle{\hspace{1}{\log }_{ 10 }10}$ $3$\displaystyle{=1}$

そして， $3$\displaystyle{\hspace{1}{\log }_{ 10 }2}$ ， $3$\displaystyle{\hspace{1}{\log }_{ 10 }3}$ ， $3$\displaystyle{\hspace{1}{\log }_{ 10 }7}$ の値が分かれば，残りの値を求めることができる．

対数計算の基本(1，2，3)を参考に計算する．

$3$\displaystyle{\hspace{1}{\log }_{ 10 }4}$ $3$\displaystyle{=\hspace{1}{\log }_{ 10 }{2}^{2}}$ $3$\displaystyle{=2\hspace{1}{\log }_{ 10 }2}$

$3$\displaystyle{\hspace{1}{\log }_{ 10 }5}$ $3$\displaystyle{=\hspace{1}{\log }_{ 10 }\frac{\hspace{2}10\hspace{2}}{\hspace{2} 2 \hspace{2}}}$ $3$\displaystyle{=\hspace{1}{\log }_{ 10 }10- \hspace{1}{\log }_{ 10 }2}$ $3$\displaystyle{=1- \hspace{1}{\log }_{ 10 }2}$

$3$\displaystyle{\hspace{1}{\log }_{ 10 }6}$ $3$\displaystyle{=\hspace{1}{\log }_{ 10 } $ 2\times 3 $ }$ $3$\displaystyle{=\hspace{1}{\log }_{ 10 }2+\hspace{1}{\log }_{ 10 }3}$

$3$\displaystyle{\hspace{1}{\log }_{ 10 }8}$ $3$\displaystyle{=\hspace{1}{\log }_{ 10 }{2}^{3}}$ $3$\displaystyle{=3\hspace{1}{\log }_{ 10 }2}$

$3$\displaystyle{\hspace{1}{\log }_{ 10 }9}$ $3$\displaystyle{=\hspace{1}{\log }_{ 10 }{3}^{2}}$ $3$\displaystyle{=2\hspace{1}{\log }_{ 10 }3}$

後は， $3$\displaystyle{\hspace{1}{\log }_{ 10 }2}$ ， $3$\displaystyle{\hspace{1}{\log }_{ 10 }3}$ の値を代入すれば，それぞれの値が分かる．

ホーム>>カテゴリー分類>>指数／対数>>常用対数表(1,2,･･･,10)

作成：学生スタッフ

最終更新日： 2025年6月24日

$3$\displaystyle{X}$	$3$\displaystyle{\log \(X\) }$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }1}$	$3$\displaystyle{0}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }2}$	$3$\displaystyle{0.3010}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }3}$	$3$\displaystyle{0.4771}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }4}$	$3$\displaystyle{0.6021}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }5}$	$3$\displaystyle{0.6990}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }6}$	$3$\displaystyle{0.7782}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }7}$	$3$\displaystyle{0.8451}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }8}$	$3$\displaystyle{0.9031}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }9}$	$3$\displaystyle{0.9542}$
$3$\displaystyle{\hspace{1}{\log }_{ 10 }10}$	$3$\displaystyle{1}$