en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((3+1)/3)

Solution

simplify

ln (\frac{3 + 1}{3})

Solution

2 ln (2) - ln (3)

+1

Decimal Notation

0.28768 \dots

Solution steps

ln (\frac{3 + 1}{3})

Apply log rule:

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

ln (\frac{3 + 1}{3}) = ln (3 + 1) - ln (3)

= ln (3 + 1) - ln (3)

Add the numbers:

3 + 1 = 4

= ln (4) - ln (3)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (3)

Popular Examples

simplify 4log_{10}(x)-3log_{10}(y)simplify

4 lo g_{10} (x) - 3 lo g_{10} (y)

simplify 1/8 (ln(6)-2ln(2))simplify

\frac{1}{8} (ln (6) - 2 ln (2))

simplify ln(p/(p-200))simplify

ln (\frac{p}{p - 200})

simplify 0.082*ln(0.9896*(1-(0.0868)/(30.67)))simplify

0.082 \cdot ln (0.9896 \cdot (1 - \frac{0.0868}{30.67}))

simplify log_{u}(13e)simplify

lo g_{u} (13 e)

Frequently Asked Questions (FAQ)

What is ln((3+1)/3) ?
The solution to ln((3+1)/3) is 2ln(2)-ln(3)