en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(x)+ln(y/x)+c

Solution

simplify

2 ln (x) + ln (\frac{y}{x}) + c

Solution

ln (x y) + c

Solution steps

2 ln (x) + ln (\frac{y}{x}) + c

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

Simplify

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

= ln (x y) + c

Popular Examples

simplify ln((2^{3/4})/2)simplify

ln (\frac{2 ^{\frac{3}{4}}}{2})

simplify-ln(4e^{-8})simplify

- ln (4 e^{- 8})

simplify ln(1/(x+h)+1)-ln(1/x+1)simplify

ln (\frac{1}{x + h} + 1) - ln (\frac{1}{x} + 1)

simplify ln(1+(y^2)/(x^2))+ln(x)simplify

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

simplify-1.44-5log_{10}((2.6)/(10))simplify

- 1.44 - 5 lo g_{10} (\frac{2.6}{10})

Frequently Asked Questions (FAQ)

What is 2ln(x)+ln(y/x)+c ?
The solution to 2ln(x)+ln(y/x)+c is ln(xy)+c