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

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Answer 1 · 2016-10-17T10:52:56

$p=0.554$

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

$3pxxlog4=log10=1$

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

and $p=1.661/3=0.554$

How do you solve 4^(3p)=104^(3p)=10?