en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x)+ln(y^{-1})

Solution

simplify

ln (x) + ln (y^{- 1})

Solution

ln (\frac{x}{y})

Solution steps

ln (x) + ln (y^{- 1})

Apply log rule:

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

ln (x) + ln (y^{- 1}) = ln (x y^{- 1})

= ln (x y^{- 1})

Simplify

x y^{- 1} : \frac{x}{y}

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

Popular Examples

simplify 5-10ln(3/2)simplify

5 - 10 ln (\frac{3}{2})

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

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

simplify ln(7bsqrt((b+6)/(b-6)))simplify

ln (7 b \frac{b + 6}{b - 6})

simplify 5log_{10}(x)-log_{10}(y)simplify

5 lo g_{10} (x) - lo g_{10} (y)

simplify-ln(90-x)+ln(150-x)simplify

- ln (90 - x) + ln (150 - x)

Frequently Asked Questions (FAQ)

What is ln(x)+ln(y^{-1}) ?
The solution to ln(x)+ln(y^{-1}) is ln(x/y)