Solve $\left( \frac { 1 } { 2 } \right) ^ { x } = 8$ for x.
A)1
B) $- 1$
C) $- 3$
D) $- 2$
E)no solution

Name: Solve $\left( \frac { 1 } { 2 } \right) ^ { x } = 8$ for x. A)1 B) $- 1$ C) $- 3$ D) $- 2$ E)no solution
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Question

Quizplus · Accepted Answer

To solve $\left( \frac { 1 } { 2 } \right) ^ { x } = 8$, we can rewrite 8 as $2^3$, and since $\frac{1}{2}$ is $2^{-1}$, the equation becomes $2^{-x} = 2^3$. Therefore, $-x = 3$, which means $x = -3$.

Solve (12)x=8\left( \frac { 1 } { 2 } \right) ^ { x } = 8(21​)x=8

Solve $\left( \frac { 1 } { 2 } \right) ^ { x } = 8$