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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify ln(x+6)+ln(4-2x)simplify

ln (x + 6) + ln (4 - 2 x)

simplify-log_{10}(2.4*10^{-8})simplify

- lo g_{10} (2.4 \cdot 1 0^{- 8})

simplify 3ln(4)+4ln(3)-4ln(3)simplify

3 ln (4) + 4 ln (3) - 4 ln (3)

simplify-log_{10}(1.34*10^{-6})simplify

- lo g_{10} (1.34 \cdot 1 0^{- 6})

simplify 5ln(3)-2ln(3)+2ln(4)simplify

5 ln (3) - 2 ln (3) + 2 ln (4)

Frequently Asked Questions (FAQ)

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