Use properties of logarithms to evaluate the expression.
-$$\log _ { 10 } ( 0.0001 ) ^ { 5 }$$
A) $\frac { 1 } { 20 }$
B) $\log 625$
C) $- 20$
D) $- 625$

Question

Quizplus · Accepted Answer

$\log _ { 10 } ( 0.0001 ) ^ { 5 }$ simplifies to $\log _ { 10 } ( 10 ^ { - 4 } ) ^ { 5 }$, which further simplifies to $\log _ { 10 } ( 10 ^ { - 20 } )$. Using the property of logarithms, this equals $-20$.

Use Properties of Logarithms to Evaluate the Expression log⁡10(0.0001)5\log _ { 10 } ( 0.0001 ) ^ { 5 }log10​(0.0001)5

Use Properties of Logarithms to Evaluate the Expression $\log _ { 10 } ( 0.0001 ) ^ { 5 }$