Solve the equation.
-$$\left( \frac { 1 } { 5 } \right) ^ { x } = 625$$
A) $\{ 4 \}$
B) $\left\{ \frac { 1 } { 4 } \right\}$
C) $\{ - 4 \}$
D) $\left\{ - \frac { 1 } { 4 } \right\}$

Question

Quizplus · Accepted Answer

625 can be expressed as $5^4$, and since the base on the left side of the equation is $\frac{1}{5}$, we can rewrite the equation as $\left(5^{-1}\right)^x = 5^4$. Therefore, $x = -4$.

Solve the Equation (15)x=625\left( \frac { 1 } { 5 } \right) ^ { x } = 625(51​)x=625

Solve the Equation $\left( \frac { 1 } { 5 } \right) ^ { x } = 625$