What is log_{a}(m^2\sqrt[3]{r^5}) ?

The solution to log_{a}(m^2\sqrt[3]{r^5}) is 2log_{a}(m)+log_{a}(r)+log_{a}(\sqrt[3]{r^2})

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simplify log_{a}(m^2\sqrt[3]{r^5})

simplify

Solution steps

Simplify

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

Simplify

lo g_{a} (m^{2}) : 2 lo g_{a} (m)

4 lo g_{10} (a) + lo g_{10} (k)

lo g_{3} (\frac{x}{x + 2})

2 lo g_{x} (4) + lo g_{x} (3)

lo g_{a} (\frac{x ^{7}}{y z ^{8}})

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

What is log_{a}(m^2\sqrt[3]{r^5}) ?
The solution to log_{a}(m^2\sqrt[3]{r^5}) is 2log_{a}(m)+log_{a}(r)+log_{a}(\sqrt[3]{r^2})