結合する-(ln(5/22))/(2ln(110/7))

解

結合する

- \frac{ln ( \frac{5}{22} )}{2 ln ( \frac{110}{7} )}

- \frac{ln ( \frac{5}{22} )}{ln ( \frac{12100}{49} )}

十進法表記

0.26893 \dots

解答ステップ

- \frac{ln ( \frac{5}{22} )}{2 ln ( \frac{110}{7} )}

対数の規則を適用する:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (\frac{110}{7}) = ln ((\frac{110}{7})^{2})

= - \frac{ln ( \frac{5}{22} )}{ln ( ( \frac{110}{7} ) ^{2} )}

(\frac{110}{7})^{2} = \frac{11 0 ^{2}}{7 ^{2}}

= - \frac{ln ( \frac{5}{22} )}{ln ( \frac{11 0 ^{2}}{7 ^{2}} )}

\frac{11 0 ^{2}}{7 ^{2}} = \frac{12100}{49}

= - \frac{ln ( \frac{5}{22} )}{ln ( \frac{12100}{49} )}