en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify pi/8 ln(13/9)

Solution

simplify

\frac{π}{8} ln (\frac{13}{9})

Solution

\frac{π}{8} (ln (13) - 2 ln (3))

+1

Decimal Notation

0.14440 \dots

Solution steps

\frac{π}{8} ln (\frac{13}{9})

Apply log rule:

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

ln (\frac{13}{9}) = ln (13) - ln (9)

= \frac{π}{8} (ln (13) - ln (9))

ln (9) = 2 ln (3)

= \frac{π}{8} (ln (13) - 2 ln (3))

Popular Examples

simplify ln((tan(x))/2)simplify

ln (\frac{tan ( x )}{2})

simplify-log_{2}(1/6)simplify

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

simplify 2log_{3}(2)-3log_{3}(4)+2log_{3}(5)simplify

2 lo g_{3} (2) - 3 lo g_{3} (4) + 2 lo g_{3} (5)

simplify 2ln(4)+2ln(5)simplify

2 ln (4) + 2 ln (5)

simplify 2log_{10}(x-1)-log_{10}(4)simplify

2 lo g_{10} (x - 1) - lo g_{10} (4)

Frequently Asked Questions (FAQ)

What is pi/8 ln(13/9) ?
The solution to pi/8 ln(13/9) is pi/8 (ln(13)-2ln(3))