Solve the logarithmic equation. Give an exact solution.
-$\log _ { 4 } x = - 3$
A) $\{ 64 \}$
B) $\{ - 12 \}$
C) $\left\{ \frac { 1 } { 16 } \right\}$
D) $\left\{ \frac { 1 } { 64 } \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $\log_4 x = -3$, we rewrite it in exponential form as $4^{-3} = x$, which simplifies to $x = \frac{1}{4^3} = \frac{1}{64}$.

Solve the Logarithmic Equation log⁡4x=−3\log _ { 4 } x = - 3log4​x=−3

Solve the Logarithmic Equation $\log _ { 4 } x = - 3$