how to write each expression into a single logarithm.

Question

3log[4]x^(2) + (1/2)log[4]�ã(x)

the answer is: (25/4)log[4]x

steps please

Answer 1

I will assume the strange symbol is a square root sign
3log[4]x^(2) + (1/2)log[4]?ã(x)
=log₄x^6 + log₄x^(1/4)
= log₄ ((x^6)(x^(1/4))
= log₄ (x^(25/4)
= (25/4)log₄ x