What is ln(9/(sqrt(x^2+8))) ?

The solution to ln(9/(sqrt(x^2+8))) is 2ln(3)-ln(sqrt(x^2+8))

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simplify ln(9/(sqrt(x^2+8)))

simplify

ln (\frac{9}{x ^{2} + 8})

2 ln (3) - ln (x^{2} + 8)

Solution steps

ln (\frac{9}{x ^{2} + 8})

Apply log rule:

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

ln (\frac{9}{x ^{2} + 8}) = ln (9) - ln (x^{2} + 8)

= ln (9) - ln (x^{2} + 8)

ln (9) = 2 ln (3)

= 2 ln (3) - ln (x^{2} + 8)

\frac{lo g _{10} ( x + h ) - lo g _{10} ( x )}{h}

lo g_{4} (16 k^{8} x)

5 lo g_{2} (x) - 3 lo g_{2} (y)

lo g_{b} (\frac{x ^{4}}{z ^{2}})

2 (ln (x) - ln (x + 1) - ln (x - 1))

What is ln(9/(sqrt(x^2+8))) ?
The solution to ln(9/(sqrt(x^2+8))) is 2ln(3)-ln(sqrt(x^2+8))