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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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