en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(4/6)-ln(1/3)

Solution

simplify

ln (\frac{4}{6}) - ln (\frac{1}{3})

Solution

ln (2)

+1

Decimal

0.69314 \dots

Solution steps

ln (\frac{4}{6}) - ln (\frac{1}{3})

Apply log rule:

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

ln (\frac{4}{6}) - ln (\frac{1}{3}) = ln (\frac{\frac{4}{6}}{\frac{1}{3}})

= ln (\frac{\frac{4}{6}}{\frac{1}{3}})

\frac{\frac{4}{6}}{\frac{1}{3}} = 2

= ln (2)

Popular Examples

domain of f(x)=ln(3/(3-x))domain

f (x) = ln (\frac{3}{3 - x})

simplify 2ln(x)-2ln(y)simplify

2 ln (x) - 2 ln (y)

simplify ln(ie^pi)simplify

ln (i e^{π})

simplify-ln|8-3|+2ln|8-2|simplify

- ln ∣ 8 - 3 ∣ + 2 ln ∣ 8 - 2 ∣

join 1/14*ln(129)join

\frac{1}{14} \cdot ln (129)

Frequently Asked Questions (FAQ)

What is ln(4/6)-ln(1/3) ?
The solution to ln(4/6)-ln(1/3) is ln(2)