What is log_{3}(x^{19}*\sqrt[3]{y^2}) ?

The solution to log_{3}(x^{19}*\sqrt[3]{y^2}) is 19log_{3}(x)+log_{3}(\sqrt[3]{y^2})

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simplify log_{3}(x^{19}*\sqrt[3]{y^2})

simplify

Solution steps

Apply log rule:

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

Simplify

lo g_{3} (x^{19}) : 19 lo g_{3} (x)

lo g_{3} (6) + lo g_{3} (c)

3.8 + lo g_{10} (1.77 \times 1 0^{- 4})

lo g_{10} (\frac{a}{b c})

ln (6) + ln (4) - ln (3)

What is log_{3}(x^{19}*\sqrt[3]{y^2}) ?
The solution to log_{3}(x^{19}*\sqrt[3]{y^2}) is 19log_{3}(x)+log_{3}(\sqrt[3]{y^2})