Solve the logarithmic equation for x. Give an exact solution
-$\log _ { 5 } x = - 3$
A) 2
B) $- 15$
C) $\frac { 1 } { 243 }$
D) $\frac { 1 } { 125 }$

Name: Solve the logarithmic equation for x. Give an exact solution -$\log _ { 5 } x = - 3$ A) 2 B) $- 15$ C) $\frac { 1 } { 243 }$ D) $\frac { 1 } { 125 }$
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Question

Quizplus · Accepted Answer

To solve the equation $\log_5 x = -3$, we rewrite it in exponential form: $5^{-3} = x$. This simplifies to $x = \frac{1}{5^3} = \frac{1}{125}$.

Solve the Logarithmic Equation for X log⁡5x=−3\log _ { 5 } x = - 3log5​x=−3

Solve the Logarithmic Equation for X $\log _ { 5 } x = - 3$