Write the equation in logarithmic form.
-$$5 ^ { - 4 } = \frac { 1 } { 625 }$$
A) $\log _ { 5 } \frac { 1 } { 625 } = - 4$
B) $\log _ { - 4 } 5 = 625$
C) $- \log _ { 5 } 625 = - 4$
D) $\log _ { 5 } ( - 4 ) = 625$

Question

Quizplus · Accepted Answer

The logarithmic form of $a^b = c$ is $\log_a c = b$. Here, $5^{-4} = \frac{1}{625}$, so the correct logarithmic form is $\log_5 \frac{1}{625} = -4$.

Write the Equation in Logarithmic Form 5−4=16255 ^ { - 4 } = \frac { 1 } { 625 }5−4=6251​

Write the Equation in Logarithmic Form $5 ^ { - 4 } = \frac { 1 } { 625 }$