Change the exponential expression to an equivalent expression involving a logarithm.
-$$6 ^ { 2 } = 36$$
A) $\log _ { 6 } 36 = 2$
B) $\log _ { 36 } 6 = 2$
C) $\log _ { 2 } 36 = 6$
D) $\log _ { 6 } 2 = 36$

Question

Quizplus · Accepted Answer

The correct conversion from the exponential form $6^2 = 36$ to a logarithmic form is $\log_{6} 36 = 2$, which means "the logarithm base 6 of 36 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