What is log_{b}(x)-log_{b}(x-1)-5log_{10}(x-3) ?

The solution to log_{b}(x)-log_{b}(x-1)-5log_{10}(x-3) is log_{b}(x/(x-1))-5log_{10}(x-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(x)-log_{b}(x-1)-5log_{10}(x-3)

simplify

lo g_{b} (x) - lo g_{b} (x - 1) - 5 lo g_{10} (x - 3)

lo g_{b} (\frac{x}{x - 1}) - 5 lo g_{10} (x - 3)

Solution steps

lo g_{b} (x) - lo g_{b} (x - 1) - 5 lo g_{10} (x - 3)

Apply log rule:

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

lo g_{b} (x) - lo g_{b} (x - 1) = lo g_{b} (\frac{x}{x - 1})

= lo g_{b} (\frac{x}{x - 1}) - 5 lo g_{10} (x - 3)

ln (\frac{∣ 1 + x ∣}{∣ 1 - x ∣})

ln (x) + 6 ln (y)

lo g_{5} (\frac{5}{25}) + e^{l n (3) + l n (4)}

lo g_{b} (y^{6} z)

ln (\frac{x ( x ^{2} + 1 ) ^{2}}{2 x ^{3} - 1})

What is log_{b}(x)-log_{b}(x-1)-5log_{10}(x-3) ?
The solution to log_{b}(x)-log_{b}(x-1)-5log_{10}(x-3) is log_{b}(x/(x-1))-5log_{10}(x-3)