What is ln(x^2-81)-ln(x^2-6x-27) ?

The solution to ln(x^2-81)-ln(x^2-6x-27) is ln((x+9)/(x+3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^2-81)-ln(x^2-6x-27)

simplify

ln (x^{2} - 81) - ln (x^{2} - 6 x - 27)

ln (\frac{x + 9}{x + 3})

Solution steps

ln (x^{2} - 81) - ln (x^{2} - 6 x - 27)

Apply log rule:

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

ln (x^{2} - 81) - ln (x^{2} - 6 x - 27) = ln (\frac{x ^{2} - 81}{x ^{2} - 6 x - 27})

= ln (\frac{x ^{2} - 81}{x ^{2} - 6 x - 27})

Simplify

\frac{x ^{2} - 81}{x ^{2} - 6 x - 27} : \frac{x + 9}{x + 3}

= ln (\frac{x + 9}{x + 3})

lo g_{7} ((\frac{x}{y})^{2})

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

5 ln (z) - 3 ln (x) - 7 ln (y)

lo g_{5} (3 x + 1) + lo g_{5} (x)

lo g_{10} (8) + lo g_{10} (3)

What is ln(x^2-81)-ln(x^2-6x-27) ?
The solution to ln(x^2-81)-ln(x^2-6x-27) is ln((x+9)/(x+3))