What is log_{10}((\sqrt[3]{a^2b})/c) ?

The solution to log_{10}((\sqrt[3]{a^2b})/c) is log_{10}(\sqrt[3]{a^2b})-log_{10}(c)

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simplify log_{10}((\sqrt[3]{a^2b})/c)

simplify

Solution steps

Apply log rule:

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

ln (\frac{e ^{9}}{9})

ln (x) - 3 [ln (x + 6) + ln (x - 6)]

(lo g_{b} (x) - lo g_{b} (y)) + 3 lo g_{b} (v)

lo g_{4} (x + 6) + lo g_{4} (x)

lo g_{10} (\frac{( x ^{3} y ^{13} )}{z ^{13}})

What is log_{10}((\sqrt[3]{a^2b})/c) ?
The solution to log_{10}((\sqrt[3]{a^2b})/c) is log_{10}(\sqrt[3]{a^2b})-log_{10}(c)