Homework Help: Precalc

Posted by Amy~ on Wednesday, February 2, 2011 at 5:14pm.

how to write each expression into a single logarithm.

3log[4]x^(2) + (1/2)log[4]پم(x)

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

steps please

Precalc - Reiny, Wednesday, February 2, 2011 at 5:47pm
I will assume the strange symbol is a square root sign
3log[4]x^(2) + (1/2)log[4]?م(x)
=log₄x^6 + log₄x^(1/4)
= log₄ ((x^6)(x^(1/4))
= log₄ (x^(25/4)
= (25/4)log₄ x

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