What is ln(x/(sqrt(x^2+1))) ?

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

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

simplify

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

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)

lo g_{10} (x \cdot y \cdot z^{2})

lo g_{10} (\frac{y}{x})

lo g_{10} (\frac{z x}{y})

lo g_{10} (4) + lo g_{10} (p)

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