How do you solve $3log_4 n= 6$ ?

Question

1337 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-04T23:10:17

$n = 16$

Begin with dividing both sides by three to make it much easier to approach.

$4log_4n = 6$
$log_4n = 2$

Now raise both sides to the power of 4, which will cancel out the logarithm

$log_4n = 2$
$4^(log_4n) = 4^2$
$n = 4^2$
$n = 16$

How do you solve 3log_4 n= 6 3log_4 n= 6 ?