en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 15/2 ln(2/5)

Solution

simplify

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

Solution

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

+1

Decimal Notation

- 6.87218 \dots

Solution steps

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

Popular Examples

simplify 3/2 [ln(x^2-1)-ln(x+1)+ln(x-1)]simplify

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

expand ln(xsqrt(y/z))expand

ln (x \frac{y}{z})

expand log_{10}((6/5)^6)expand

lo g_{10} ((\frac{6}{5})^{6})

simplify log_{6}(14)-1/2 log_{6}(49)+log_{6}(18)simplify

lo g_{6} (14) - \frac{1}{2} lo g_{6} (49) + lo g_{6} (18)

simplify ln(4/(5x^5y))simplify

ln (\frac{4}{5 x ^{5} y})

Frequently Asked Questions (FAQ)

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