Rewrite the logarithm $\log _ { 4 } 25$ in terms of the natural logarithm.
A) $\frac { \ln 25 } { \ln 4 }$
B) $\frac { \ln 4 } { \ln 25 }$
C) $\ln 4 \ln 25$
D) $\frac { \ln 25 } { \log _ { 4 } e }$
E) $\ln 25$

Question

Quizplus · Accepted Answer

The change of base formula for logarithms states that $\log _ { b } a = \frac { \ln a } { \ln b }$, so $\log _ { 4 } 25$ can be rewritten as $\frac { \ln 25 } { \ln 4 }$.

Rewrite the Logarithm log⁡425\log _ { 4 } 25log4​25 In Terms of the Natural Logarithm

Rewrite the Logarithm $\log _ { 4 } 25$ In Terms of the Natural Logarithm