Write the exponential equation in logarithmic form. $4 ^ { - 2 } = \frac { 1 } { 16 }$
A) $\log _ { 16 } \frac { 1 } { 4 } = - 2$
B) $\log _ { 4 } \frac { 1 } { 16 } = 2$
C) $\log _ { 4 } 16 = 2$
D) $\log _ { 4 } \frac { 1 } { 16 } = - 2$
E) $\log _ { 4 } 16 = - 2$

Question

Write the exponential equation in logarithmic form. $4 ^ { - 2 } = \frac { 1 } { 16 }$ 
A) $\log _ { 16 } \frac { 1 } { 4 } = - 2$
B) $\log _ { 4 } \frac { 1 } { 16 } = 2$
C) $\log _ { 4 } 16 = 2$
D) $\log _ { 4 } \frac { 1 } { 16 } = - 2$
E) $\log _ { 4 } 16 = - 2$

Quizplus · Accepted Answer

The Answer is D

Write the Exponential Equation in Logarithmic Form 4−2=1164 ^ { - 2 } = \frac { 1 } { 16 }4−2=161​

Write the Exponential Equation in Logarithmic Form $4 ^ { - 2 } = \frac { 1 } { 16 }$