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

The domain of ln(-x^2+5x-2) is (5-sqrt(17))/2 <x<(sqrt(17)+5)/2

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

domain

ln (- x^{2} + 5 x - 2)

\frac{5 - 17}{2} < x < \frac{17 + 5}{2}

Interval Notation

(\frac{5 - 17}{2}, \frac{17 + 5}{2})

Solution steps

Find positive values for logs:

\frac{- 17 + 5}{2} < x < \frac{17 + 5}{2}

The function domain

\frac{5 - 17}{2} < x < \frac{17 + 5}{2}

lo g_{2} (x + 1) + 3

f (t) = 5.5 t^{2} + 6 t

f (x) = \frac{23}{13 x - 31}

f (x) = x^{3} - 5 x + 2

ln (- x^{2} + 5 x - 3)

What is the domain of ln(-x^2+5x-2) ?
The domain of ln(-x^2+5x-2) is (5-sqrt(17))/2 <x<(sqrt(17)+5)/2