What is ln((sqrt(x^2+1-x))/(sqrt(x^2+1+x))) ?

The solution to ln((sqrt(x^2+1-x))/(sqrt(x^2+1+x))) is ln(sqrt(x^2+1-x))-ln(sqrt(x^2+1+x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((sqrt(x^2+1-x))/(sqrt(x^2+1+x)))

simplify

ln (\frac{x ^{2} + 1 - x}{x ^{2} + 1 + x})

ln (x^{2} + 1 - x) - ln (x^{2} + 1 + x)

Solution steps

ln (\frac{x ^{2} + 1 - x}{x ^{2} + 1 + x})

Apply log rule:

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

ln (\frac{x ^{2} + 1 - x}{x ^{2} + 1 + x}) = ln (x^{2} + 1 - x) - ln (x^{2} + 1 + x)

= ln (x^{2} - x + 1) - ln (x^{2} + x + 1)

\frac{1}{3} [2 ln (x + 3) + ln (x) - in (x^{2} - 1)]

\frac{2}{3} lo g_{10} (x) - \frac{1}{3} lo g_{10} (y)

ln (\frac{1 - ( - 1 )}{1 + 2})

- lo g_{10} (5.08 \cdot 1 0^{- 5})

2.45 + lo g_{10} (\frac{0.047}{0.054})

What is ln((sqrt(x^2+1-x))/(sqrt(x^2+1+x))) ?
The solution to ln((sqrt(x^2+1-x))/(sqrt(x^2+1+x))) is ln(sqrt(x^2+1-x))-ln(sqrt(x^2+1+x))