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

The domain of ln(-x^2+5x-3) is (5-sqrt(13))/2 <x<(sqrt(13)+5)/2

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

domain

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

\frac{5 - 13}{2} < x < \frac{13 + 5}{2}

Interval Notation

(\frac{5 - 13}{2}, \frac{13 + 5}{2})

Solution steps

Find positive values for logs:

\frac{- 13 + 5}{2} < x < \frac{13 + 5}{2}

The function domain

\frac{5 - 13}{2} < x < \frac{13 + 5}{2}

f (x) = \frac{x - 7}{x + 6}

f (x) = \frac{( x ^{2} + 16 )}{x ^{2} - 9}

f (x) = 2 π - 3 arccos (\frac{1 - x ^{2}}{2})

f (x) = 2 3 x + 3 + 5

- 2 x + 3 x + 4

What is the domain of ln(-x^2+5x-3) ?
The domain of ln(-x^2+5x-3) is (5-sqrt(13))/2 <x<(sqrt(13)+5)/2