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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

Solution steps

Apply log rule:

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

Simplify

lo g_{10} (x z^{2}) : lo g_{10} (x) + 2 lo g_{10} (z)

Apply the distributive law:

- (a + b) = - a - b

- (lo g_{10} (x) + 2 lo g_{10} (z)) = - lo g_{10} (x) - 2 lo g_{10} (z)

lo g_{4} (7) - lo g_{4} (\frac{8}{5})

ln (7 e^{7 x})

lo g_{10} (x^{2}) (x + 4)

lo g_{10} (\frac{x ( x + 3 )}{( x + 5 ) ^{9}})

e^{\frac{l n ( 3 ) - l n ( 8 ) + l n ( 25 ) - l n ( 6 )}{2}}

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