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Popular >

simplify log_{4}(16sqrt(4))

Solution

simplify

lo g_{4} (164)

Solution

\frac{5}{2}

+1

Solution steps

lo g_{4} (164)

164 = 4^{\frac{5}{2}}

= lo g_{4} (4^{\frac{5}{2}})

Apply log rule:

lo g_{a} (a^{b}) = b

= \frac{5}{2}

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Frequently Asked Questions (FAQ)

What is log_{4}(16sqrt(4)) ?
The solution to log_{4}(16sqrt(4)) is 5/2