Write $2 ^ { - 4 } = \frac { 1 } { 16 }$ in logarithmic form.
A) $\log _ { 4 } \frac { 1 } { 16 } = - 2$
B) $\log _ { 2 } \frac { 1 } { 4 } = 16$
C) $\log _ { 2 } \frac { 1 } { 4 } = - 16$
D) $\log _ { 2 } \frac { 1 } { 16 } = - 4$

Question

Quizplus · Accepted Answer

To write $2 ^ { - 4 } = \frac { 1 } { 16 }$ in logarithmic form, we can use the rule that says if $a ^ { x } = b,$ then $\log _ { a } b = x.$ Thus, we have $2 ^ { - 4 } = \frac { 1 } { 16 }$ can be written as $\log _ { 2 } \frac { 1 } { 16 } = - 4.$ Therefore, the best choice is D.

Write 2−4=1162 ^ { - 4 } = \frac { 1 } { 16 }2−4=161​

Write $2 ^ { - 4 } = \frac { 1 } { 16 }$