# How do you write the equation 81^(1/2)=9 into logarithmic form?

Aug 6, 2018

color(indigo)(1/2 log 81 = log 9

#### Explanation:

${81}^{\frac{1}{2}} = 9$

Taking Log on both sides,

$\log {\left(81\right)}^{\frac{1}{2}} = \log 9$

color(indigo)(1/2 log 81 = log 9

color(green)(1/2 log(9)^2 = log 9