en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-3/2*ln(a/b)

Solution

simplify

- \frac{3}{2} \cdot ln (\frac{a}{b})

Solution

- \frac{3}{2} (ln (a) - ln (b))

Solution steps

- \frac{3}{2} ln (\frac{a}{b})

Apply log rule:

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

ln (\frac{a}{b}) = ln (a) - ln (b)

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

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

Popular Examples

simplify 5log_{h}(y)+4log_{h}(x)simplify

5 lo g_{h} (y) + 4 lo g_{h} (x)

simplify-1/3 ln|x+1|+1/3 ln|x-2|+3 simplify

- \frac{1}{3} ln ∣ x + 1 ∣ + \frac{1}{3} ln ∣ x - 2 ∣ + 3

simplify ln(6)+ln(sqrt((e^{(2.43849)))/3})simplify

ln (6) + ln (\frac{e ^{(2.43849)}}{3})

simplify ln(7(-4)^2(2)(3))simplify

ln (7 (- 4)^{2} (2) (3))

simplify ln(96/7)+1/2 (ln(2/3 x))+1/4 (ln(15/8))simplify

ln (\frac{96}{7}) + \frac{1}{2} (ln (\frac{2}{3} x)) + \frac{1}{4} (ln (\frac{15}{8}))

Frequently Asked Questions (FAQ)

What is simplify-3/2*ln(a/b) ?
The solution to simplify-3/2*ln(a/b) is -3/2 (ln(a)-ln(b))