What is ln(sqrt(2)+1)-ln(sqrt(2)-1) ?

The solution to ln(sqrt(2)+1)-ln(sqrt(2)-1) is ln(3+2sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(sqrt(2)+1)-ln(sqrt(2)-1)

simplify

ln (2 + 1) - ln (2 - 1)

ln (3 + 22)

Decimal Notation

1.76274 \dots

Solution steps

ln (2 + 1) - ln (2 - 1)

Apply log rule:

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

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

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

\frac{2 + 1}{2 - 1} = 3 + 22

= ln (3 + 22)

lo g_{10} (\frac{y ^{2} \cdot x}{3 z})

lo g_{7} (x) - lo g_{7} (x^{9})

ln (\frac{6}{e ^{4}})

lo g_{2} (x) - lo g_{2} (x^{6})

lo g_{10} (\frac{x ^{3}}{5})

What is ln(sqrt(2)+1)-ln(sqrt(2)-1) ?
The solution to ln(sqrt(2)+1)-ln(sqrt(2)-1) is ln(3+2sqrt(2))