What is ln(3/(sqrt(x^2+1))) ?

The solution to ln(3/(sqrt(x^2+1))) is ln(3)-ln(sqrt(x^2+1))

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simplify ln(3/(sqrt(x^2+1)))

simplify

ln (\frac{3}{x ^{2} + 1})

ln (3) - ln (x^{2} + 1)

Solution steps

ln (\frac{3}{x ^{2} + 1})

Apply log rule:

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

ln (\frac{3}{x ^{2} + 1}) = ln (3) - ln (x^{2} + 1)

= ln (3) - ln (x^{2} + 1)

2 ln (x + 3) - ln (x)

2 lo g_{7} (x + 1) + lo g_{7} (3)

1 + ln (2^{5}) - 5 ln (\frac{5}{2})

ln (10000) - ln (8800)

ln (e^{3 x} y^{3})

What is ln(3/(sqrt(x^2+1))) ?
The solution to ln(3/(sqrt(x^2+1))) is ln(3)-ln(sqrt(x^2+1))