# How do you solve 4^(3p)=10?

Oct 17, 2016

$p = 0.554$

#### Explanation:

Taking logarithm (to base $10$) on both sides of ${4}^{3 p} = 10$

$3 p \times \log 4 = \log 10 = 1$

Hence 3p=1/log4=1/0.6021=`1.661

and $p = \frac{1.661}{3} = 0.554$