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

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

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

simplify

Solution steps

Apply log rule:

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

Cancel

lo g_{b} (b^{3}) - lo g_{b} (b)

- lo g_{10} (3.1 \cdot 1 0^{- 4})

lo g_{10} (\frac{x y ^{5}}{z ^{2}})

2 lo g_{10} (x) + 3 lo g_{10} (y) - lo g_{10} (x y)

lo g_{3} (m) + lo g_{3} (5) - n

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