Solve the equation.
-$\log _ { x } 4 = - 2$
A) $\{ - 2 \}$
B) $\left\{ - \frac { 1 } { 2 } \right\}$
C) $\left\{ \frac { 1 } { 2 } \right\}$
D) $\{ 2 \}$

Name: Solve the equation. -$\log _ { x } 4 = - 2$ A) $\{ - 2 \}$ B) $\left\{ - \frac { 1 } { 2 } \right\}$ C) $\left\{ \frac { 1 } { 2 } \right\}$ D) $\{ 2 \}$
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Question

Quizplus · Accepted Answer

The equation $\log _ { x } 4 = - 2$ can be rewritten using the definition of logarithms as $x^{-2} = 4$. Solving for $x$, we get $x = \frac{1}{2}$, since $\left(\frac{1}{2}\right)^{-2} = 4$.

Solve the Equation log⁡x4=−2\log _ { x } 4 = - 2logx​4=−2

Solve the Equation $\log _ { x } 4 = - 2$