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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

= ln (x^{2}) - ln (- x + 1)

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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