# How do you solve log_b9=2 and check the solutions?

Jan 5, 2017

$b = 3$.

#### Explanation:

Recall the Defn. of log. function :

${\log}_{b} y = x \iff {b}^{x} = y , b > 0 , b \ne 1 , y > 0$

Hence, ${\log}_{b} 9 = 2 \Rightarrow {b}^{2} = 9 \Rightarrow b = \pm 3$

Since, $b > 0 , b = + 3$ is the Soln.