Change the exponential expression to an equivalent expression involving a logarithm.
-$$5 ^ { 2 } = 25$$
A) $\log _ { 2 } 25 = 5$
B) $\log _ { 5 } 2 = 25$
C) $\log _ { 25 } 5 = 2$
D) $\log _ { 5 } 25 = 2$

Question

Quizplus · Accepted Answer

The correct transformation from the exponential form $5^2 = 25$ to a logarithmic form is $\log_{5}25 = 2$, which means "the logarithm base 5 of 25 equals 2". This matches the definition of a logarithm, which is the inverse operation to exponentiation.

Change the Exponential Expression to an Equivalent Expression Involving a Logarithm