What is log_{10}(x+2)+2log_{10}(x-3) ?

The solution to log_{10}(x+2)+2log_{10}(x-3) is log_{10}((x+2)(x-3)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(x+2)+2log_{10}(x-3)

simplify

lo g_{10} (x + 2) + 2 lo g_{10} (x - 3)

lo g_{10} ((x + 2) (x - 3)^{2})

Solution steps

lo g_{10} (x + 2) + 2 lo g_{10} (x - 3)

Apply log rule:

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

2 lo g_{10} (x - 3) = lo g_{10} ((x - 3)^{2})

= lo g_{10} (x + 2) + lo g_{10} ((x - 3)^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (x + 2) + lo g_{10} ((x - 3)^{2}) = lo g_{10} ((x - 3)^{2} (x + 2))

= lo g_{10} ((x + 2) (x - 3)^{2})

lo g_{10} (\frac{k ^{3}}{2})

lo g_{10} (\frac{24 m ^{2}}{16 p})

ln (ln (a + b) + ln (a - b) - 8 ln (c))

- \frac{1}{5} lo g_{3} (2)

What is log_{10}(x+2)+2log_{10}(x-3) ?
The solution to log_{10}(x+2)+2log_{10}(x-3) is log_{10}((x+2)(x-3)^2)