Write the exponential equation in logarithmic form. $81 ^ { 1 / 2 } = 9$
A) $\log _ { 81 } 9 = \frac { 1 } { 2 }$
B) $\log _ { 81 } \frac { 1 } { 2 } = 9$
C) $\log _ { 81 } 9 = 2$
D) $\log _ { 81 } 9 = - \frac { 1 } { 2 }$
E) $\log _ { 9 } 81 = \frac { 1 } { 2 }$

Question

Write the exponential equation in logarithmic form.  $81 ^ { 1 / 2 } = 9$ 
A) $\log _ { 81 } 9 = \frac { 1 } { 2 }$
B) $\log _ { 81 } \frac { 1 } { 2 } = 9$
C) $\log _ { 81 } 9 = 2$
D) $\log _ { 81 } 9 = - \frac { 1 } { 2 }$
E) $\log _ { 9 } 81 = \frac { 1 } { 2 }$

Quizplus · Accepted Answer

The exponential equation $81^{1/2} = 9$ can be rewritten in logarithmic form as $\log_{81}9 = \frac{1}{2}$, which means "to what power must 81 be raised to get 9?" and the answer is $1/2$.

Write the Exponential Equation in Logarithmic Form 811/2=981 ^ { 1 / 2 } = 9811/2=9

Write the Exponential Equation in Logarithmic Form $81 ^ { 1 / 2 } = 9$