What is ln(3/(sqrt(x^2+9))) ?

The solution to ln(3/(sqrt(x^2+9))) is ln(3)-ln(sqrt(x^2+9))

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simplify ln(3/(sqrt(x^2+9)))

simplify

ln (\frac{3}{x ^{2} + 9})

ln (3) - ln (x^{2} + 9)

Solution steps

ln (\frac{3}{x ^{2} + 9})

Apply log rule:

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

ln (\frac{3}{x ^{2} + 9}) = ln (3) - ln (x^{2} + 9)

= ln (3) - ln (x^{2} + 9)

ln (a + b) + 4 ln (a - b) - 3 ln (c)

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

ln (63) - ln (24)

- 2 ln (3) - ln (2)

- lo g_{10} (1.21 \cdot 1 0^{- 4})

What is ln(3/(sqrt(x^2+9))) ?
The solution to ln(3/(sqrt(x^2+9))) is ln(3)-ln(sqrt(x^2+9))