en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(16/9)

Solution

simplify

ln (\frac{16}{9})

Solution

4 ln (2) - 2 ln (3)

+1

Solution steps

ln (\frac{16}{9})

Apply log rule:

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

ln (\frac{16}{9}) = ln (16) - ln (9)

= ln (16) - ln (9)

ln (16) = 4 ln (2)

ln (9) = 2 ln (3)

= 4 ln (2) - 2 ln (3)

Popular Examples

simplify ln(11)-ln(0.002)simplify

ln (11) - ln (0.002)

simplify ln(x^3e^{2x-1})simplify

ln (x^{3} e^{2 x - 1})

simplify-log_{2}(1/12)simplify

- lo g_{2} (\frac{1}{12})

simplify ln((\sqrt[3]{2^4})/9)simplify

simplify ln(3)+5ln(2)simplify

ln (3) + 5 ln (2)

Frequently Asked Questions (FAQ)

What is ln(16/9) ?
The solution to ln(16/9) is 4ln(2)-2ln(3)