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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify 1/2 log_{10}(b)+3log_{10}(c)simplify

\frac{1}{2} lo g_{10} (b) + 3 lo g_{10} (c)

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- lo g_{2} (\frac{x}{3})

simplify 4ln(x)-6ln(y)simplify

4 ln (x) - 6 ln (y)

simplify 3+log_{10}(x/(10))simplify

3 + lo g_{10} (\frac{x}{10})

simplify log_{3}((27)/x)simplify

lo g_{3} (\frac{27}{x})

Frequently Asked Questions (FAQ)

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