en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

\frac{\frac{x - y}{y}}{y} : \frac{x - y}{y ^{2}}

= ln (\frac{x - y}{y ^{2}})

Popular Examples

simplify 5ln(pi/4)simplify

5 ln (\frac{π}{4})

simplify ln((3x-5)/(8x+1))simplify

ln (\frac{3 x - 5}{8 x + 1})

simplify 2ln(x+3)+2ln(x-3)simplify

2 ln (x + 3) + 2 ln (x - 3)

simplify 3ln(x)+ln(c)simplify

3 ln (x) + ln (c)

simplify ln(((k^7))/4)simplify

ln (\frac{( k ^{7} )}{4})

Frequently Asked Questions (FAQ)

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