Evaluate the logarithm.
-$\log _ { 8 } \frac { 1 } { 64 }$
A) 2
B) 8
C) $- 8$
D) $- 2$

Name: Evaluate the logarithm. -$\log _ { 8 } \frac { 1 } { 64 }$ A) 2 B) 8 C) $- 8$ D) $- 2$
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Quizplus · Accepted Answer

The logarithm $\log _ { 8 } \frac { 1 } { 64 }$ can be rewritten as $8^x = \frac { 1 } { 64 }$. Since $8 = 2^3$ and $64 = 2^6$, this can be further rewritten as $(2^3)^x = 2^{-6}$, leading to $3x = -6$, which solves to $x = -2$.

Evaluate the Logarithm log⁡8164\log _ { 8 } \frac { 1 } { 64 }log8​641​

Evaluate the Logarithm $\log _ { 8 } \frac { 1 } { 64 }$