Change the exponential expression to an equivalent expression involving a logarithm.
-$$32 ^ { 2 / 5 } = 4$$
A) $\log _ { 4 } 32 = \frac { 2 } { 5 }$
B) $\log _ { 32 } 4 = \frac { 2 } { 5 }$
C) $\log _ { 2 } 32 = \frac { 2 } { 5 }$
D) $\frac { \log _ { 5 } 4 } { \log _ { 2 } 32 } = 32$

Question

Quizplus · Accepted Answer

The correct transformation from the exponential form $32^{2/5} = 4$ to a logarithmic form is $\log_{32}4 = \frac{2}{5}$, which matches choice B. This is because in general, $a^b = c$ can be rewritten as $\log_a c = b$.

Change the Exponential Expression to an Equivalent Expression Involving a Logarithm