簡約 0.462-(0.0592)/2 log_{10}((0.02)/(0.2))

解

簡約

0.462 - \frac{0.0592}{2} lo g_{10} (\frac{0.02}{0.2})

0.462 - \frac{0.0592}{2} (lo g_{10} (0.02) - lo g_{10} (0.2))

十進法表記

0.4916

解答ステップ

0.462 - \frac{0.0592}{2} lo g_{10} (\frac{0.02}{0.2})

対数の規則を適用する:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{0.02}{0.2}) = lo g_{10} (0.02) - lo g_{10} (0.2)

= 0.462 - \frac{0.0592}{2} (lo g_{10} (0.02) - lo g_{10} (0.2))

= 0.462 - \frac{0.0592}{2} (lo g_{10} (0.02) - lo g_{10} (0.2))