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
            
        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
    
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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