What is the domain of f(x)=ln(x)+ln(5-x) ?

The domain of f(x)=ln(x)+ln(5-x) is 0<x<5

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domain of f(x)=ln(x)+ln(5-x)

domain

f (x) = ln (x) + ln (5 - x)

0 < x < 5

Interval Notation

(0, 5)

Solution steps

Find positive values for logs:

0 < x < 5

The function domain

0 < x < 5

\frac{x ^{2} + 2 x}{x - 1}

y = \frac{1}{3 - x}

y = \frac{1}{2} cos (2 π x)

\frac{2 x ^{2} - 7 x - 15}{x ^{2} - 3 x - 10}

5 x + 2 y = 8

What is the domain of f(x)=ln(x)+ln(5-x) ?
The domain of f(x)=ln(x)+ln(5-x) is 0<x<5