Solve the equation.
-$$\log _ { 2 } x = - 3$$
A) $\{ - 1 \}$
B) $\left\{ \frac { 1 } { 9 } \right\}$
C) $\{ - 6 \}$
D) $\left\{ \frac { 1 } { 8 } \right\}$

Name: Solve the equation. -\[\log _ { 2 } x = - 3\] A) $\{ - 1 \}$ B) $\left\{ \frac { 1 } { 9 } \right\}$ C) $\{ - 6 \}$ D) $\left\{ \frac { 1 } { 8 } \right\}$
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Question

Quizplus · Accepted Answer

The equation $\log_2 x = -3$ can be rewritten in exponential form as $2^{-3} = x$. Solving this gives $x = \frac{1}{2^3} = \frac{1}{8}$, which matches choice D.

Solve the Equation log⁡2x=−3\log _ { 2 } x = - 3log2​x=−3

Solve the Equation $\log _ { 2 } x = - 3$