What is log_{2}((\sqrt[3]{x+1})/(16)) ?

The solution to log_{2}((\sqrt[3]{x+1})/(16)) is log_{2}(\sqrt[3]{x+1})-4

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simplify log_{2}((\sqrt[3]{x+1})/(16))

simplify

Solution steps

Apply log rule:

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

lo g_{2} (16) = 4

5 + lo g_{10} (3 x)

3 lo g_{2} (x) + 2 lo g_{2} (y) - \frac{1}{2} lo g_{2} (z)

lo g_{7} (\frac{x ^{2} y ^{3}}{z})

ln (\frac{x y}{y ^{3}})

3 ln (a) + 6 ln (b) - ln (8)

What is log_{2}((\sqrt[3]{x+1})/(16)) ?
The solution to log_{2}((\sqrt[3]{x+1})/(16)) is log_{2}(\sqrt[3]{x+1})-4