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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

\frac{1}{10} ln (- 1)

ln (a^{π} b^{π})

- lo g_{10} (3.6 x 1 0^{- 3})

\frac{1}{2} lo g_{16} (74)

ln ((x^{2} + 1) 2 (x^{5} - 2))

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