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Popular >

simplify ln((1+2x)/(1-x))

Solution

simplify

ln (\frac{1 + 2 x}{1 - x})

Solution

ln (1 + 2 x) - ln (1 - x)

Solution steps

ln (\frac{1 + 2 x}{1 - x})

Apply log rule:

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

ln (\frac{1 + 2 x}{1 - x}) = ln (1 + 2 x) - ln (1 - x)

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

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Frequently Asked Questions (FAQ)

What is ln((1+2x)/(1-x)) ?
The solution to ln((1+2x)/(1-x)) is ln(1+2x)-ln(1-x)