What is log_{10}(x/(\sqrt[3]{z^2)y^3}) ?

The solution to log_{10}(x/(\sqrt[3]{z^2)y^3}) is log_{10}(x)-log_{10}(\sqrt[3]{z^2})-3log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(x/(\sqrt[3]{z^2)y^3})

simplify

Solution steps

Apply log rule:

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

Simplify

Apply the distributive law:

- (a + b) = - a - b

6 ln (- 3 (- 1)) - 3

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{6}})

lo g_{10} (a y^{2})

- \frac{1}{2} ln (2)

3.3 (lo g_{10} (18000) - lo g_{10} (150))

What is log_{10}(x/(\sqrt[3]{z^2)y^3}) ?
The solution to log_{10}(x/(\sqrt[3]{z^2)y^3}) is log_{10}(x)-log_{10}(\sqrt[3]{z^2})-3log_{10}(y)