Use the change of base formula to identify the expression that is equivalent to $\log _ { 5 } 8$ .
A) $\frac { \log 8 } { \log 5 }$
B) $\frac { \log 5 } { \log 8 }$
C) $\frac { \ln 5 } { \ln 8 }$
D) $5 \log 8$

Question

Quizplus · Accepted Answer

The change of base formula is $\log_{a} b = \frac{\log{b}}{\log{a}}$. Applying this formula to $\log_{5} 8$, we get $\frac{\log{8}}{\log{5}}$, which is equivalent to choice A.

Use the Change of Base Formula to Identify the Expression log⁡58\log _ { 5 } 8log5​8

Use the Change of Base Formula to Identify the Expression $\log _ { 5 } 8$