Write the exponential equation as an equation involving a logarithm.
-$$4 ^ { - 2 } = \frac { 1 } { 16 }$$
A) $\log _ { 4 } \frac { 1 } { 16 } = - 2$
B) $\log _ { 1 / 16 } 4 = - 2$
C) $\log _ { 4 } - 2 = \frac { 1 } { 16 }$
D) $\log _ { - 2 } \frac { 1 } { 16 } = 4$

Question

Quizplus · Accepted Answer

The exponential equation $4^{-2} = \frac{1}{16}$ can be rewritten in logarithmic form as $\log_{4}\frac{1}{16} = -2$, where the base of the logarithm (4) raised to the power on the right side of the equation (-2) equals the number inside the logarithm ($\frac{1}{16}$).

Write the Exponential Equation as an Equation Involving a Logarithm 4−2=1164 ^ { - 2 } = \frac { 1 } { 16 }4−2=161​

Write the Exponential Equation as an Equation Involving a Logarithm $4 ^ { - 2 } = \frac { 1 } { 16 }$