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

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Answer 1 · 2017-01-05T14:23:36

$b=3$ .

Recall the Defn. of log. function :

$log_b y=x iff b^x=y, b gt 0, b ne1, y gt 0$

Hence, $log_b 9=2 rArr b^2=9 rArr b=+-3$

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

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