en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3ln(3/2)-3ln(1)

Solution

simplify

3 ln (\frac{3}{2}) - 3 ln (1)

Solution

3 (ln (3) - ln (2))

+1

Solution steps

3 ln (\frac{3}{2}) - 3 ln (1)

Apply log rule:

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

ln (\frac{3}{2}) = ln (3) - ln (2)

= 3 (ln (3) - ln (2)) - 3 ln (1)

3 ln (1) = 0

= 3 (ln (3) - ln (2)) - 0

3 (ln (3) - ln (2)) - 0 = 3 (ln (3) - ln (2))

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

Popular Examples

simplify ln(4/(sqrt(pi)))simplify

ln (\frac{4}{π})

simplify ln(x^2e^{x/y dy})simplify

ln (x^{2} e^{\frac{x}{y} d y})

expand log_{b}(s^{19})expand

lo g_{b} (s^{19})

simplify ln(x)+2ln(p)-ln(8p^2-1)simplify

ln (x) + 2 ln (p) - ln (8 p^{2} - 1)

simplify ln(a+b)+5ln(a-b)-5ln(c)simplify

ln (a + b) + 5 ln (a - b) - 5 ln (c)

Frequently Asked Questions (FAQ)

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