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

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

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

simplify

Solution steps

Apply log rule:

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

ln (x^{\frac{1}{2}} y^{\frac{1}{3}})

ln (3) - 2 (ln (4) + ln (32))

lo g_{10} (\frac{1}{2}) + lo g_{10} (\frac{2}{3})

ln (x - 1 (2 x - 3)^{\frac{1}{4}})

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