en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(u/3+1)-ln(u/3-1)

Solution

simplify

ln (\frac{u}{3} + 1) - ln (\frac{u}{3} - 1)

Solution

ln (\frac{u + 3}{u - 3})

Solution steps

ln (\frac{u}{3} + 1) - ln (\frac{u}{3} - 1)

Apply log rule:

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

ln (\frac{u}{3} + 1) - ln (\frac{u}{3} - 1) = ln (\frac{\frac{u}{3} + 1}{\frac{u}{3} - 1})

= ln (\frac{\frac{u}{3} + 1}{\frac{u}{3} - 1})

Simplify

\frac{\frac{u}{3} + 1}{\frac{u}{3} - 1} : \frac{u + 3}{u - 3}

= ln (\frac{u + 3}{u - 3})

Popular Examples

expand log_{7}(9x)expand

lo g_{7} (9 x)

simplify log_{5}((xy)/z)simplify

lo g_{5} (\frac{x y}{z})

simplify log_{10}(y)-15log_{10}(z)simplify

lo g_{10} (y) - 15 lo g_{10} (z)

simplify 6log_{2}(x)+12log_{2}(y)simplify

6 lo g_{2} (x) + 12 lo g_{2} (y)

simplify ln(10t)simplify

ln (10 t)

Frequently Asked Questions (FAQ)

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