Solve the equation.
-$$\left( \frac { 1 } { 2 } \right) ^ { x } = 8$$
A) $\{ - 3 \}$
B) $\{ 3 \}$
C) $\left\{ - \frac { 1 } { 3 } \right\}$
D) $\left\{ \frac { 1 } { 3 } \right\}$

Question

Quizplus · Accepted Answer

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

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

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