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(2/u)

Solution

simplify

\frac{1}{2} ln (\frac{2}{u})

Solution

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

Solution steps

\frac{1}{2} ln (\frac{2}{u})

Apply log rule:

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

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

= \frac{1}{2} (- ln (u) + ln (2))

Popular Examples

simplify ln(125/16)-ln(2)simplify

ln (\frac{125}{16}) - ln (2)

simplify 1/24 ln(cos(3)x^2)+c simplify

\frac{1}{24} ln (cos (3) x^{2}) + c

simplify log_{a}(x^3)-log_{a}(x^4)+2log_{a}(x)simplify

lo g_{a} (x^{3}) - lo g_{a} (x^{4}) + 2 lo g_{a} (x)

expand log_{10}(log_{10}(x^4)y)expand

lo g_{10} (lo g_{10} (x^{4}) y)

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

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

Frequently Asked Questions (FAQ)

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