en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3/8*ln(8/3)

Solution

simplify

\frac{3}{8} \cdot ln (\frac{8}{3})

Solution

\frac{3}{8} (3 ln (2) - ln (3))

+1

Decimal Notation

0.36781 \dots

Solution steps

\frac{3}{8} ln (\frac{8}{3})

Apply log rule:

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

ln (\frac{8}{3}) = ln (8) - ln (3)

= \frac{3}{8} (ln (8) - ln (3))

ln (8) = 3 ln (2)

= \frac{3}{8} (3 ln (2) - ln (3))

Popular Examples

simplify ln((a*b)/c)simplify

ln (\frac{a \cdot b}{c})

simplify ln(0.9x)-ln(x)simplify

ln (0.9 x) - ln (x)

simplify 2log_{3}(x)-5log_{3}(x-3)+log_{3}(y)simplify

2 lo g_{3} (x) - 5 lo g_{3} (x - 3) + lo g_{3} (y)

simplify ln((2x)/(y^{10)})simplify

ln (\frac{2 x}{y ^{10}})

expand log_{8}((x^2)/y)expand

lo g_{8} (\frac{x ^{2}}{y})

Frequently Asked Questions (FAQ)

What is 3/8*ln(8/3) ?
The solution to 3/8*ln(8/3) is 3/8 (3ln(2)-ln(3))