Write the equation in logarithmic form. $64 ^ { - 1 / 2 } = \frac { 1 } { 8 }$
A) $\log _ { 64 } \left( \frac { 1 } { 2 } \right) = - 8$
B) $\log _ { 64 } \left( \frac { 1 } { 8 } \right) = - \frac { 1 } { 2 }$
C) $\log _ { 2 } \left( \frac { 1 } { 2 } \right) = - \frac { 1 } { 8 }$
D) $\log _ { 6 } \left( \frac { 1 } { 64 } \right) = \frac { 1 } { 2 }$
E) $\log _ { 64 } ( 2 ) = - 8$

Question

Quizplus · Accepted Answer

The equation can be rewritten as $64^{1/2}=8$, which means $64^{-1/2}=\frac{1}{8}$. Therefore, we can write the equation in logarithmic form as $\log_{64}(\frac{1}{8})=-\frac{1}{2}$. Choice B is the correct equation in logarithmic form.

Write the Equation in Logarithmic Form 64−1/2=1864 ^ { - 1 / 2 } = \frac { 1 } { 8 }64−1/2=81​

Write the Equation in Logarithmic Form $64 ^ { - 1 / 2 } = \frac { 1 } { 8 }$