Write the exponential equation in logarithmic form. $2 ^ { 3 } = 8$
A) $\log _ { 8 } 2 = 3$
B) $\log _ { 2 } 8 = 3$
C) $\log _ { 8 } 2 = - 3$
D) $\log _ { 2 } 3 = 8$
E) $\log _ { 2 } 8 = \frac { 1 } { 3 }$

Question

Write the exponential equation in logarithmic form.​ $2 ^ { 3 } = 8$ ​
A) $\log _ { 8 } 2 = 3$
B) $\log _ { 2 } 8 = 3$
C) $\log _ { 8 } 2 = - 3$
D) $\log _ { 2 } 3 = 8$
E) $\log _ { 2 } 8 = \frac { 1 } { 3 }$

Quizplus · Accepted Answer

The exponential equation $2^3 = 8$ can be rewritten in logarithmic form as $\log_{2}8 = 3$, meaning "the logarithm base 2 of 8 equals 3." This matches choice B.

Write the Exponential Equation in Logarithmic Form 23=82 ^ { 3 } = 823=8

Write the Exponential Equation in Logarithmic Form $2 ^ { 3 } = 8$