Solve for x, where x is a real number.
-$$125 ^ { x } = 25$$
A) 2
B) $\frac { 2 } { 3 }$
C) $\frac { 3 } { 2 }$
D) $\frac { 1 } { 5 }$

Name: Solve for x, where x is a real number. -\[125 ^ { x } = 25\] A) 2 B) $\frac { 2 } { 3 }$ C) $\frac { 3 } { 2 }$ D) $\frac { 1 } { 5 }$
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Question

Quizplus · Accepted Answer

Both 125 and 25 can be expressed as powers of 5: $125 = 5^3$ and $25 = 5^2$. Therefore, $5^{3x} = 5^2$, which implies $3x = 2$, and solving for x gives $x = \frac{2}{3}$.

Solve for X, Where X Is a Real Number 125x=25125 ^ { x } = 25125x=25

Solve for X, Where X Is a Real Number $125 ^ { x } = 25$