Solve the equation.
-$3125 ^ { x } = \frac { 1 } { 625 }$
A) $- \frac { 4 } { 5 }$
B) $\frac { 5 } { 4 }$
C) $\frac { 4 } { 5 }$
D) $- \frac { 5 } { 4 }$

Name: Solve the equation. -$3125 ^ { x } = \frac { 1 } { 625 }$ A) $- \frac { 4 } { 5 }$ B) $\frac { 5 } { 4 }$ C) $\frac { 4 } { 5 }$ D) $- \frac { 5 } { 4 }$
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Question

Quizplus · Accepted Answer

The equation can be rewritten using the fact that $3125 = 5^5$ and $\frac{1}{625} = 5^{-4}$. Thus, $5^{5x} = 5^{-4}$, leading to $5x = -4$, and solving for $x$ gives $x = -\frac{4}{5}$.

Solve the Equation 3125x=16253125 ^ { x } = \frac { 1 } { 625 }3125x=6251​

Solve the Equation $3125 ^ { x } = \frac { 1 } { 625 }$