What is log_{3}(x^7\sqrt[3]{y^{18}}) ?

The solution to log_{3}(x^7\sqrt[3]{y^{18}}) is 7log_{3}(x)+6log_{3}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(x^7\sqrt[3]{y^{18}})

simplify

7 lo g_{3} (x) + 6 lo g_{3} (y)

Solution steps

Simplify

= lo g_{3} (x^{7} y^{6})

Apply log rule:

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

lo g_{3} (x^{7} y^{6}) = lo g_{3} (x^{7}) + lo g_{3} (y^{6})

= lo g_{3} (x^{7}) + lo g_{3} (y^{6})

lo g_{3} (x^{7}) = 7 lo g_{3} (x)

lo g_{3} (y^{6}) = 6 lo g_{3} (y)

= 7 lo g_{3} (x) + 6 lo g_{3} (y)

- lo g_{10} (8 \cdot 1 0^{- 5})

lo g_{7} (4) - lo g_{7} (3)

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

1 - 3 lo g_{10} (2) + lo g_{10} (20)

lo g_{10} (\frac{y}{3})

What is log_{3}(x^7\sqrt[3]{y^{18}}) ?
The solution to log_{3}(x^7\sqrt[3]{y^{18}}) is 7log_{3}(x)+6log_{3}(y)