en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/3 ln(10/12)

Solution

simplify

\frac{1}{3} ln (\frac{10}{12})

Solution

\frac{1}{3} (ln (10) - ln (12))

+1

Decimal Notation

- 0.06077 \dots

Solution steps

\frac{1}{3} ln (\frac{10}{12})

Apply log rule:

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

ln (\frac{10}{12}) = ln (10) - ln (12)

= \frac{1}{3} (ln (10) - ln (12))

Popular Examples

simplify 5ln(2)-ln(x)-ln(17)simplify

5 ln (2) - ln (x) - ln (17)

simplify ln(3)+ln(31/8)simplify

ln (3) + ln (\frac{31}{8})

simplify 10log_{10}(((159*10^{-9}))/(20*10^{-3)})simplify

10 lo g_{10} (\frac{( 159 \cdot 1 0 ^{- 9} )}{20 \cdot 1 0 ^{- 3}})

simplify 0.5ln(3/4)+3ln(1.5)simplify

0.5 ln (\frac{3}{4}) + 3 ln (1.5)

simplify ((3ln^2(3x)+1)/(x(ln^3(3x)+ln(x))))ln(x)simplify

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

Frequently Asked Questions (FAQ)

What is 1/3 ln(10/12) ?
The solution to 1/3 ln(10/12) is 1/3 (ln(10)-ln(12))