How do you solve this problem log little 4 big 4 radical 5x

Question

log little 4 big 4 radical 5x

Answer 1

log₄(4√(5x))=log₄4+log₄√(5x)=1+(1/2)log₄(5x)

=1+(1/2)log₄5+(1/2)log₄(x)=(1/2)(2+log₄5+log₄x)

Answer 2

I assume you meant to say

log₄[4√(5x)] = something

You need to also state what the "something" is in order to solve for x.  If you just want to expand the expression, then

 

log₄[4√(5x)] = log₄4 + log₄[(5x)^1/2] = 1 + (1/2)log₄(5x)

Answer 3

log₄ 4√5x is an expression. It cannot be solved (Equations can do that).

What do you want done?