en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 15/4 ln(2/5)

Solution

simplify

\frac{15}{4} ln (\frac{2}{5})

Solution

\frac{15}{4} (ln (2) - ln (5))

+1

Decimal Notation

- 3.43609 \dots

Solution steps

\frac{15}{4} ln (\frac{2}{5})

Apply log rule:

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

ln (\frac{2}{5}) = ln (2) - ln (5)

= \frac{15}{4} (ln (2) - ln (5))

Popular Examples

simplify log_{10}((x^4)/y)simplify

lo g_{10} (\frac{x ^{4}}{y})

simplify log_{4}((64)/(sqrt(x+8)))simplify

lo g_{4} (\frac{64}{x + 8})

simplify 4ln(x)+2ln(y)-5ln(z)simplify

4 ln (x) + 2 ln (y) - 5 ln (z)

simplify 4log_{3}(x)-1/3 log_{3}(x+6)simplify

4 lo g_{3} (x) - \frac{1}{3} lo g_{3} (x + 6)

simplify log_{a}(x)+log_{a}(y)-log_{a}(z)simplify

lo g_{a} (x) + lo g_{a} (y) - lo g_{a} (z)

Frequently Asked Questions (FAQ)

What is 15/4 ln(2/5) ?
The solution to 15/4 ln(2/5) is 15/4 (ln(2)-ln(5))