What is log_{5}(sqrt(x))-log_{5}(x^8) ?

The solution to log_{5}(sqrt(x))-log_{5}(x^8) is log_{5}((sqrt(x))/(x^8))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{5}(sqrt(x))-log_{5}(x^8)

simplify

lo g_{5} (x) - lo g_{5} (x^{8})

lo g_{5} (\frac{x}{x ^{8}})

Solution steps

lo g_{5} (x) - lo g_{5} (x^{8})

Apply log rule:

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

lo g_{5} (x) - lo g_{5} (x^{8}) = lo g_{5} (\frac{x}{x ^{8}})

= lo g_{5} (\frac{x}{x ^{8}})

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

lo g_{2} (\frac{8 x ^{4}}{5})

- lo g_{10} (4 \cdot 1 0^{- 9})

lo g_{3} (\frac{2 x}{y})

lo g_{4} (n m)

What is log_{5}(sqrt(x))-log_{5}(x^8) ?
The solution to log_{5}(sqrt(x))-log_{5}(x^8) is log_{5}((sqrt(x))/(x^8))