Rewrite the exponential equation $5 ^ { - 3 } = \frac { 1 } { 125 }$ in logarithmic form.
A) $\log _ { 5 } 125 = - 3$
B) $\log _ { 125 } 5 = - 3$
C) $\log _ { 3 } 125 = - 3$
D) $\log _ { 5 } \frac { 1 } { 125 } = - 3$
E) $\log _ { 5 } \frac { 1 } { 125 } = 3$

Question

Quizplus · Accepted Answer

The logarithmic form of $5^{-3} = \frac{1}{125}$ is $\log_{5}\frac{1}{125} = -3$, where the base of the logarithm matches the base of the exponent, and the exponent becomes the right side of the equation.

Rewrite the Exponential Equation 5−3=11255 ^ { - 3 } = \frac { 1 } { 125 }5−3=1251​

Rewrite the Exponential Equation $5 ^ { - 3 } = \frac { 1 } { 125 }$