Simplify the expression.
-$\log _ { 1 / 5 } 625$
A) $- 4$
B) $\frac { 1 } { 4 }$
C) $- \frac { 1 } { 4 }$
D) 4

Question

Quizplus · Accepted Answer

The expression $\log _ { 1 / 5 } 625$ can be simplified by recognizing that $625 = (5^4)$ and since the base of the logarithm is $1/5$, we can rewrite the expression as $\log _ { 1 / 5 } (5^4)$. This simplifies to $-4$ because $1/5$ is the reciprocal of $5$, and thus, we need to invert the exponent, leading to $-4$.

Simplify the Expression log⁡1/5625\log _ { 1 / 5 } 625log1/5​625

Simplify the Expression $\log _ { 1 / 5 } 625$