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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

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\frac{3}{4} lo g_{2} (\frac{3}{4}) + \frac{1}{4} lo g_{2} (\frac{1}{4})

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ln (\frac{x ^{4} y}{z ^{5}})

simplify log_{4}((xy)^3)-log_{4}(xy)simplify

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lo g_{2} (7) - lo g_{2} (5)

expand log_{2}((x^3y)/(5z^6))expand

lo g_{2} (\frac{x ^{3} y}{5 z ^{6}})

Frequently Asked Questions (FAQ)

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