Solve the equation.
-$$125 ^ { x } = 625$$
A) $\left\{ \frac { 1 } { 3 } \right\}$

B) $\left\{ \frac { 4 } { 3 } \right\}$

C) $\left\{ \frac { 3 } { 4 } \right\}$

D) $\left\{ \frac { 1 } { 4 } \right\}$

Question

Solve the equation.
-$$125 ^ { x } = 625$$
A) $\left\{ \frac { 1 } { 3 } \right\}$

B) $\left\{ \frac { 4 } { 3 } \right\}$

C) $\left\{ \frac { 3 } { 4 } \right\}$

D) $\left\{ \frac { 1 } { 4 } \right\}$

Quizplus · Accepted Answer

Both 125 and 625 are powers of 5. 125 is $5^3$ and 625 is $5^4$. Therefore, $125^x = 625$ can be rewritten as $(5^3)^x = 5^4$, which simplifies to $5^{3x} = 5^4$. Equating the exponents gives $3x = 4$, so $x = \frac{4}{3}$.

Solve the Equation 125x=625125 ^ { x } = 625125x=625 A) {13}\left\{ \frac { 1 } { 3 } \right\}{31​}

Solve the Equation $125 ^ { x } = 625$ A) $\left\{ \frac { 1 } { 3 } \right\}$