How do you solve $log_3 3+log_3x=5$ ?

Question

1306 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-16T22:12:09

$x=81$

You can see straightaway that $log_3 3 = 1$ , because $3^1=3$ , so

$1+log_3 x=5$
$log_3 x=4$

Raise both sides by $3$ ,

$3^(log_3 x)=3^4$
$x=3^4$
$x=81$

How do you solve log_3 3+log_3x=5log_3 3+log_3x=5?