What is ln(x/(sqrt(9+x^2))) ?

The solution to ln(x/(sqrt(9+x^2))) is ln(x)-ln(sqrt(9+x^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(9+x^2)))

simplify

ln (\frac{x}{9 + x ^{2}})

ln (x) - ln (9 + x^{2})

Solution steps

ln (\frac{x}{9 + x ^{2}})

Apply log rule:

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

ln (\frac{x}{9 + x ^{2}}) = ln (x) - ln (9 + x^{2})

= ln (x) - ln (x^{2} + 9)

2000 ln (\frac{140000}{2100 x}) - 9.8 x

ln (\frac{e ^{x} + e ^{- x}}{e ^{x} - e ^{- x}})

ln (- a \cdot e)

7 lo g_{b} (z - 7) - 6 lo g_{b} (z + 7)

5 ln (5) - 3 ln (3)

What is ln(x/(sqrt(9+x^2))) ?
The solution to ln(x/(sqrt(9+x^2))) is ln(x)-ln(sqrt(9+x^2))