What is log_{2}((y^{10})/(\sqrt[4]{z)}) ?

The solution to log_{2}((y^{10})/(\sqrt[4]{z)}) is 10log_{2}(y)-log_{2}(\sqrt[4]{z})

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simplify log_{2}((y^{10})/(\sqrt[4]{z)})

simplify

Solution steps

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

Simplify

lo g_{2} (y^{10}) : 10 lo g_{2} (y)

lo g_{2} (5) + lo g_{2} (9)

lo g_{9} (7) + lo g_{9} (10)

\frac{3 ln ( 2 ) - 3 ln ( 3 )}{ln ( 24 )}

5 lo g_{b} (x) + 8 lo g_{b} (z)

ln (3 (1))

What is log_{2}((y^{10})/(\sqrt[4]{z)}) ?
The solution to log_{2}((y^{10})/(\sqrt[4]{z)}) is 10log_{2}(y)-log_{2}(\sqrt[4]{z})