What is 3log_{5}(x+2)-log_{5}(x) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3log_{5}(x+2)-log_{5}(x)

simplify

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

lo g_{5} (\frac{( x + 2 ) ^{3}}{x})

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{5} ((x + 2)^{3}) - lo g_{5} (x) = lo g_{5} (\frac{( x + 2 ) ^{3}}{x})

= lo g_{5} (\frac{( x + 2 ) ^{3}}{x})

ln (6 + x) - ln (x)

- lo g_{10} (9.2 \cdot 1 0^{- 6})

ln (\frac{4 x ^{2} + 4 x + 8}{x ^{\frac{4}{3}} tan ( x )})

\frac{1}{4} ln (\frac{5}{3}) + \frac{1}{4} ln (5)

20 lo g_{10} (\frac{P}{2 \cdot 1 0 ^{- 4}})

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