en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 (ln(x)-ln(y))

Solution

simplify

\frac{1}{2} (ln (x) - ln (y))

Solution

\frac{1}{2} ln (\frac{x}{y})

Solution steps

\frac{1}{2} (ln (x) - ln (y))

Apply log rule:

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

ln (x) - ln (y) = ln (\frac{x}{y})

= \frac{1}{2} ln (\frac{x}{y})

Popular Examples

simplify log_{10}(5)-log_{10}(4)simplify

lo g_{10} (5) - lo g_{10} (4)

simplify log_{3}(7)+log_{3}(4)simplify

lo g_{3} (7) + lo g_{3} (4)

simplify ln(1/(e^2))+ln(2e)simplify

ln (\frac{1}{e ^{2}}) + ln (2 e)

simplify 1/3 [2ln(x+5)-ln(x)-ln(x^2-4)]simplify

\frac{1}{3} [2 ln (x + 5) - ln (x) - ln (x^{2} - 4)]

simplify log_{3}(7)+log_{3}(5)simplify

lo g_{3} (7) + lo g_{3} (5)

Frequently Asked Questions (FAQ)

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