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How do you simplify this expression using properties of logarithms? 1/4 log4 16
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How do you simplify this expression using
properties of logarithms?

1/4 log4 16

User Nofate
by
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1 Answer

5 votes

Explanation:


(1)/(4) \: log_4 16 \\ \\ = (1)/(4) \: log_4 {4}^(2) \\ \\ = (1)/(4) * 2\: log_4 {4} \\ \\ = (1)/(4) * 2\: * 1 \\ \\ = (1)/(2) \\ \\ \huge \blue{ \boxed{\therefore \: (1)/(4) \: log_4 16= (1)/(2) }}\\

User Karthic G
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