Evaluate the function at the indicated value of $x = 64$ . $f ( x ) = \log _ { 8 } x$
A)0
B) $- \frac { 1 } { 2 }$
C) $\frac { 1 } { 2 }$
D)-2
E)2

Question

Evaluate the function at the indicated value of $x = 64$ .​ $f ( x ) = \log _ { 8 } x$ ​
A)0
B) $- \frac { 1 } { 2 }$
C) $\frac { 1 } { 2 }$
D)-2
E)2

Quizplus · Accepted Answer

The function $f(x) = \log_8 x$ asks for the power to which 8 must be raised to get $x$. When $x = 64$, we are looking for the exponent that makes $8$ become $64$. Since $8^2 = 64$, the correct answer is $2$, which corresponds to choice E.

Evaluate the Function at the Indicated Value Of x=64x = 64x=64

Evaluate the Function at the Indicated Value Of $x = 64$