en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(2)+ln(2)-ln(3)

Solution

simplify

ln (2) + ln (2) - ln (3)

Solution

ln (\frac{4}{3})

+1

Decimal

0.28768 \dots

Solution steps

ln (2) + ln (2) - ln (3)

Apply log rule:

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

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

= ln (2) + ln (\frac{2}{3})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (2) + ln (\frac{2}{3}) = ln (2 \cdot \frac{2}{3})

= ln (2 \cdot \frac{2}{3})

2 \cdot \frac{2}{3} = \frac{4}{3}

= ln (\frac{4}{3})

Popular Examples

simplify 4log_{10}(2)-3log_{10}(4)+log_{10}(5)simplify

4 lo g_{10} (2) - 3 lo g_{10} (4) + lo g_{10} (5)

simplify ln(3x^2-9x)+ln(1/(3x))simplify

ln (3 x^{2} - 9 x) + ln (\frac{1}{3 x})

simplify-log_{10}(3.5*10^{11})simplify

- lo g_{10} (3.5 \cdot 1 0^{11})

simplify ln(ke^{-bk}b^2)simplify

ln (k e^{- bk} b^{2})

simplify 1/2 ln|b^2+1|-1/2 ln|a^2+1|simplify

\frac{1}{2} ln b^{2} + 1 - \frac{1}{2} ln a^{2} + 1

Frequently Asked Questions (FAQ)

What is ln(2)+ln(2)-ln(3) ?
The solution to ln(2)+ln(2)-ln(3) is ln(4/3)