en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(9/5)

Solution

simplify

ln (\frac{9}{5})

Solution

2 ln (3) - ln (5)

+1

Decimal Notation

0.58778 \dots

Solution steps

ln (\frac{9}{5})

Apply log rule:

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

ln (\frac{9}{5}) = ln (9) - ln (5)

= ln (9) - ln (5)

ln (9) = 2 ln (3)

= 2 ln (3) - ln (5)

Popular Examples

simplify ln((1-x)/(1+x))simplify

ln (\frac{1 - x}{1 + x})

simplify log_{10}((x^7)/(z\sqrt[3]{y^2)})simplify

simplify ln(x/3)simplify

ln (\frac{x}{3})

simplify ln(x/4)simplify

ln (\frac{x}{4})

expand log_{a}((bc)^3)\sqrt[3]{d}expand

Frequently Asked Questions (FAQ)

What is ln(9/5) ?
The solution to ln(9/5) is 2ln(3)-ln(5)