Solve the equation.
-$$\left( \frac { 1 } { 9 } \right) ^ { x } = 729$$
A) $\{ 3 \}$
B) $\left\{ - \frac { 1 } { 3 } \right\}$
C) $\{ - 3 \}$
D) $\left\{ \frac { 1 } { 3 } \right\}$

Question

Quizplus · Accepted Answer

Given $\left( \frac { 1 } { 9 } \right) ^ { x } = 729$, we can rewrite 729 as $9^3$ and $ \frac { 1 } { 9 } $ as $9^{-1}$. Thus, $9^{-x} = 9^3$, leading to $x = -3$.

Solve the Equation (19)x=729\left( \frac { 1 } { 9 } \right) ^ { x } = 729(91​)x=729

Solve the Equation $\left( \frac { 1 } { 9 } \right) ^ { x } = 729$