What is log_{10}((x+5)/(x-4)) ?

The solution to log_{10}((x+5)/(x-4)) is log_{10}(x+5)-log_{10}(x-4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}((x+5)/(x-4))

simplify

lo g_{10} (\frac{x + 5}{x - 4})

lo g_{10} (x + 5) - lo g_{10} (x - 4)

Solution steps

lo g_{10} (\frac{x + 5}{x - 4})

Apply log rule:

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

lo g_{10} (\frac{x + 5}{x - 4}) = lo g_{10} (x + 5) - lo g_{10} (x - 4)

= lo g_{10} (x + 5) - lo g_{10} (x - 4)

ln (y^{(2)} - 1) - ln (y + 1)

5 lo g_{b} (x) + 9 lo g_{b} (z)

ln (3) + 2 ln (x) - 9 ln (y)

ln (\frac{r}{s})

ln (x) + 2 ln (y + 1) - \frac{1}{2} ln (z)

What is log_{10}((x+5)/(x-4)) ?
The solution to log_{10}((x+5)/(x-4)) is log_{10}(x+5)-log_{10}(x-4)