Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-$$\log _ { 2 } x = - 3$$
A) $\frac { 1 } { 8 }$
B) $\frac { 1 } { 6 }$
C)-8
D)8

Question

Quizplus · Accepted Answer

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

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

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