What is log_{3}(x^5\sqrt[3]{y^{17}}) ?

The solution to log_{3}(x^5\sqrt[3]{y^{17}}) is 5log_{3}(x)+5log_{3}(y)+log_{3}(\sqrt[3]{y^2})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(x^5\sqrt[3]{y^{17}})

simplify

Solution steps

Simplify

Apply log rule:

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

lo g_{3} (x^{5}) = 5 lo g_{3} (x)

lo g_{3} (y^{5}) = 5 lo g_{3} (y)

lo g_{2} (9^{5})

ln (5 x^{4})

- lo g_{10} (6.5 \cdot 1 0^{- 4})

lo g_{b} (\frac{1}{a})

ln (13) + 8 ln (x) - 2 ln (y)

What is log_{3}(x^5\sqrt[3]{y^{17}}) ?
The solution to log_{3}(x^5\sqrt[3]{y^{17}}) is 5log_{3}(x)+5log_{3}(y)+log_{3}(\sqrt[3]{y^2})