Write the logarithmic statement in exponential form. $\log 2 \left( \frac { 1 } { 16 } \right) = - 4$
A) $2 ^ { \frac { 1 } { 16 } } = - 4$
B) $4 ^ { - 2 } = \frac { 1 } { 16 }$
C) $2 ^ { - 4 } = \frac { 1 } { 16 }$

Question

Quizplus · Accepted Answer

In logarithmic form, $\log_{2}\left(\frac{1}{16}\right)=-4$ means that $2^{-4}=\frac{1}{16}$. Therefore, the exponential form is $2^{-4}=\frac{1}{16}$. This matches choice C. Choices A and B are incorrect because they do not match the correct exponential form.

Write the Logarithmic Statement in Exponential Form log⁡2(116)=−4\log 2 \left( \frac { 1 } { 16 } \right) = - 4log2(161​)=−4

Write the Logarithmic Statement in Exponential Form $\log 2 \left( \frac { 1 } { 16 } \right) = - 4$