en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln|321180|-ln|101000|

Solution

simplify

ln ∣ 321180 ∣ - ln ∣ 101000 ∣

Solution

ln (\frac{159}{50})

+1

Decimal Notation

1.15688 \dots

Solution steps

ln ∣ 321180 ∣ - ln ∣ 101000 ∣

Apply log rule:

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

ln ∣ 321180 ∣ - ln ∣ 101000 ∣ = ln (\frac{∣ 321180 ∣}{∣ 101000 ∣})

= ln (\frac{∣ 321180 ∣}{∣ 101000 ∣})

\frac{∣ 321180 ∣}{∣ 101000 ∣} = \frac{159}{50}

= ln (\frac{159}{50})

Popular Examples

simplify log_{2}(9x^3)simplify

lo g_{2} (9 x^{3})

simplify log_{3}(0.0994)+log_{3}(4.5497)simplify

lo g_{3} (0.0994) + lo g_{3} (4.5497)

simplify log_{a}(8)+log_{a}(5)+2log_{a}(2)simplify

lo g_{a} (8) + lo g_{a} (5) + 2 lo g_{a} (2)

simplify log_{b}(m*n)simplify

lo g_{b} (m \cdot n)

simplify 6ln(x)+6ln(y)simplify

6 ln (x) + 6 ln (y)

Frequently Asked Questions (FAQ)

What is ln|321180|-ln|101000| ?
The solution to ln|321180|-ln|101000| is ln(159/50)