What is ln((3x)/(x^2-x-6)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((3x)/(x^2-x-6))

simplify

ln (\frac{3 x}{x ^{2} - x - 6})

ln (3) + ln (x) - ln (x^{2} - x - 6)

Solution steps

ln (\frac{3 x}{x ^{2} - x - 6})

Apply log rule:

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

ln (\frac{3 x}{x ^{2} - x - 6}) = ln (3 x) - ln (x^{2} - x - 6)

= ln (3 x) - ln (x^{2} - x - 6)

Apply log rule:

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

ln (3 x) = ln (3) + ln (x)

= ln (3) + ln (x) - ln (x^{2} - x - 6)

ln (5) - 2 (ln (4)) + ln (32)

6 lo g_{2} (x) - 4 lo g_{2} (y)

ln (7 e^{5 y})

- ln (x \cdot e^{y})

0.46 + \frac{0.025963}{2} ln (\frac{0.0155}{3.5})

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