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Popular >

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

Solution

simplify

ln (x) - ln (x + 1)

Solution

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

Solution steps

ln (x) - ln (x + 1)

Apply log rule:

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

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

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

Popular Examples

simplify 9ln(x)-1/5 ln(y)simplify

9 ln (x) - \frac{1}{5} ln (y)

domain of f(x)=3ln(x)-2ln(x-1)+1 domain

f (x) = 3 ln (x) - 2 ln (x - 1) + 1

simplify 3log_{10}(3)-2log_{10}(6)simplify

3 lo g_{10} (3) - 2 lo g_{10} (6)

simplify 1/4 log_{10}(2x+y)-log_{10}(3x+2y)simplify

\frac{1}{4} lo g_{10} (2 x + y) - lo g_{10} (3 x + 2 y)

simplify log_{9}(10)-log_{9}(7)simplify

lo g_{9} (10) - lo g_{9} (7)

Frequently Asked Questions (FAQ)

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