Write an equivalent expression in exponential form.
-$\log _ { x } 16 = - 2$
A) $\{ - 4 \}$
B) $\left\{ \frac { 1 } { 4 } \right\}$
C) $\{ 4 \}$
D) $\left\{ - \frac { 1 } { 4 } \right\}$

Question

Quizplus · Accepted Answer

The exponential form of $\log _ { x } 16 = - 2$ is $x^{-2} = 16$. Solving for $x$, we get $x = \frac{1}{4}$, since $(\frac{1}{4})^{-2} = 16$.

Write an Equivalent Expression in Exponential Form log⁡x16=−2\log _ { x } 16 = - 2logx​16=−2

Write an Equivalent Expression in Exponential Form $\log _ { x } 16 = - 2$