What is log_{5}(sqrt(x))-log_{5}(x^4) ?

The solution to log_{5}(sqrt(x))-log_{5}(x^4) is log_{5}((sqrt(x))/(x^4))

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^4)

simplify

lo g_{5} (x) - lo g_{5} (x^{4})

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

Solution steps

lo g_{5} (x) - lo g_{5} (x^{4})

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

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

- 0.55 lo g_{2} (0.55) - 0.45 lo g_{2} (0.45)

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

\frac{1}{3} lo g_{c} (x) + 3 lo g_{c} (y) - 4 lo g_{c} (x)

lo g_{3} (x) + lo g_{3} (x + 2)

lo g_{10} (a^{2} b^{3})

What is log_{5}(sqrt(x))-log_{5}(x^4) ?
The solution to log_{5}(sqrt(x))-log_{5}(x^4) is log_{5}((sqrt(x))/(x^4))