What is ln(x/(sqrt(x^2+2))) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x/(sqrt(x^2+2)))

simplify

ln (\frac{x}{x ^{2} + 2})

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

Solution steps

ln (\frac{x}{x ^{2} + 2})

Apply log rule:

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

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

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

lo g_{5} (\frac{y}{25})

2 ln (x) - 3 ln (y) + 4 ln (t)

ln (\frac{e ^{6}}{11})

lo g_{10} (3) - lo g_{10} (11)

lo g_{10} (x^{2}) - lo g_{10} (x) y + 4 lo g_{10} (y)

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