Asked by Amy~

how to write each expression into a single logarithm.

3log[4]x^(2) + (1/2)log[4]ã(x)

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

steps please

Answers

Answered by Reiny
I will assume the strange symbol is a square root sign
3log[4]x^(2) + (1/2)log[4]?ã(x)
=log<sub>4</sub>x^6 + log<sub>4</sub>x^(1/4)
= log<sub>4</sub> ((x^6)(x^(1/4))
= log<sub>4</sub> (x^(25/4)
= (25/4)log<sub>4</sub> x
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