What is expand log_{4}((\sqrt[3]{xy})/(64)) ?

The solution to expand log_{4}((\sqrt[3]{xy})/(64)) is log_{4}(\sqrt[3]{xy})-3

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expand log_{4}((\sqrt[3]{xy})/(64))

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Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{4} (64) = 3

ln (\frac{( 0.667 - 1 )}{( \frac{2}{3} \cdot 0.8749 - 1 )})

\frac{π}{8} ln (6)

- ln (2) + 2 ln (3) + 4 ln (5)

\frac{1}{7} ln ∣ 9.3 + 1 ∣ - \frac{1}{7} ln ∣ 9.3 + 8 ∣ + C

lo g_{4} (5) + lo g_{4} (1.25)

What is expand log_{4}((\sqrt[3]{xy})/(64)) ?
The solution to expand log_{4}((\sqrt[3]{xy})/(64)) is log_{4}(\sqrt[3]{xy})-3