What is log_{5}((9sqrt(x))/(y^3)) ?

The solution to log_{5}((9sqrt(x))/(y^3)) is 2log_{5}(3)+log_{5}(sqrt(x))-3log_{5}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{5}((9sqrt(x))/(y^3))

simplify

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

2 lo g_{5} (3) + lo g_{5} (x) - 3 lo g_{5} (y)

Solution steps

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

Apply log rule:

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

lo g_{5} (\frac{9 x}{y ^{3}}) = lo g_{5} (9 x) - lo g_{5} (y^{3})

= lo g_{5} (9 x) - lo g_{5} (y^{3})

lo g_{5} (9 x) = 2 lo g_{5} (3) + lo g_{5} (x)

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

= 2 lo g_{5} (3) + lo g_{5} (x) - 3 lo g_{5} (y)

lo g_{c} (x^{7} y^{6} z)

lo g_{4} (2 x) + lo g_{4} (8 y)

lo g_{10} (x y^{8})

- lo g_{e} (0.917) - lo g_{e} (0.964)

lo g_{5} (x^{2}) + lo g_{5} (\frac{1}{x})

What is log_{5}((9sqrt(x))/(y^3)) ?
The solution to log_{5}((9sqrt(x))/(y^3)) is 2log_{5}(3)+log_{5}(sqrt(x))-3log_{5}(y)