Change the logarithmic expression to an equivalent expression involving an exponent.
-$$\log _ { b } 49 = \frac { 2 } { 3 }$$
A) $b ^ { 3 / 2 } = 49$
B) $\left( \frac { 2 } { 3 } \right) ^ { b } = 49$
C) $49 ^ { 2 / 3 } = b$
D) $b ^ { 2 / 3 } = 49$

Question

Quizplus · Accepted Answer

The logarithmic equation $\log_b 49 = \frac{2}{3}$ can be rewritten in exponential form as $b^{2/3} = 49$, following the definition of logarithms.

Change the Logarithmic Expression to an Equivalent Expression Involving an Exponent