What is the domain of ln(-x^2+5x+3) ?

The domain of ln(-x^2+5x+3) is -(-5+sqrt(37))/2 <x<(sqrt(37)+5)/2

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domain of ln(-x^2+5x+3)

domain

- \frac{- 5 + 37}{2} < x < \frac{37 + 5}{2}

Interval Notation

(- \frac{- 5 + 37}{2}, \frac{37 + 5}{2})

Solution steps

Find positive values for logs:

\frac{- 37 + 5}{2} < x < \frac{37 + 5}{2}

The function domain

- \frac{- 5 + 37}{2} < x < \frac{37 + 5}{2}

What is the domain of ln(-x^2+5x+3) ?
The domain of ln(-x^2+5x+3) is -(-5+sqrt(37))/2 <x<(sqrt(37)+5)/2