What is ln(2/(sqrt(x^2+6))) ?

The solution to ln(2/(sqrt(x^2+6))) is ln(2)-ln(sqrt(x^2+6))

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simplify ln(2/(sqrt(x^2+6)))

simplify

ln (\frac{2}{x ^{2} + 6})

ln (2) - ln (x^{2} + 6)

Solution steps

ln (\frac{2}{x ^{2} + 6})

Apply log rule:

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

ln (\frac{2}{x ^{2} + 6}) = ln (2) - ln (x^{2} + 6)

= ln (2) - ln (x^{2} + 6)

ln (\frac{1}{2} x^{0.5} \cdot y^{0.5})

lo g_{10} (\frac{x ^{5}}{( x + 6 ) ^{3}})

ln (e^{x} cos (x))

- 2 ln (x) + ln (y)

3 lo g_{b} (x) - 4 lo g_{b} (y) + \frac{1}{2} lo g_{b} (x + y)

What is ln(2/(sqrt(x^2+6))) ?
The solution to ln(2/(sqrt(x^2+6))) is ln(2)-ln(sqrt(x^2+6))