What is ln((sqrt(x+1))/(9-x^2)) ?

The solution to ln((sqrt(x+1))/(9-x^2)) is ln(sqrt(x+1))-ln(9-x^2)

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simplify ln((sqrt(x+1))/(9-x^2))

simplify

ln (\frac{x + 1}{9 - x ^{2}})

ln (x + 1) - ln (9 - x^{2})

Solution steps

ln (\frac{x + 1}{9 - x ^{2}})

Apply log rule:

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

ln (\frac{x + 1}{9 - x ^{2}}) = ln (x + 1) - ln (9 - x^{2})

= ln (x + 1) - ln (- x^{2} + 9)

ln (\frac{3}{4}) - ln (2)

\frac{100}{2 \cdot π \cdot 200} \cdot ln (\frac{4 + 2 \cdot 20 0 ^{2}}{25})

ln (\frac{x + x ^{2} - 4}{2})

ln (- 3 e^{2 x})

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

What is ln((sqrt(x+1))/(9-x^2)) ?
The solution to ln((sqrt(x+1))/(9-x^2)) is ln(sqrt(x+1))-ln(9-x^2)