What is 1/5 (ln(10+sqrt(101))-ln(-5+sqrt(26))) ?

The solution to 1/5 (ln(10+sqrt(101))-ln(-5+sqrt(26))) is 1/5 ln((10+sqrt(101))(5+sqrt(26)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/5 (ln(10+sqrt(101))-ln(-5+sqrt(26)))

simplify

\frac{1}{5} (ln (10 + 101) - ln (- 5 + 26))

\frac{1}{5} ln ((10 + 101) (5 + 26))

Decimal Notation

1.06213 \dots

Solution steps

\frac{1}{5} (ln (10 + 101) - ln (- 5 + 26))

Apply log rule:

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

ln (10 + 101) - ln (- 5 + 26) = ln (\frac{10 + 101}{26 - 5})

= \frac{1}{5} ln (\frac{10 + 101}{26 - 5})

\frac{10 + 101}{- 5 + 26} = (10 + 101) (5 + 26)

= \frac{1}{5} ln ((10 + 101) (5 + 26))

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

182000 (ln (0.58) - ln (1.3))

5 lo g_{b} (x) + 2 lo g_{b} (z)

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

\frac{1}{2} lo g_{10} (6)

What is 1/5 (ln(10+sqrt(101))-ln(-5+sqrt(26))) ?
The solution to 1/5 (ln(10+sqrt(101))-ln(-5+sqrt(26))) is 1/5 ln((10+sqrt(101))(5+sqrt(26)))