What is the domain of f(x)=ln(x)+ln(3-x) ?

The domain of f(x)=ln(x)+ln(3-x) is 0<x<3

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domain of f(x)=ln(x)+ln(3-x)

domain

f (x) = ln (x) + ln (3 - x)

0 < x < 3

Interval Notation

(0, 3)

Solution steps

Find positive values for logs:

0 < x < 3

The function domain

0 < x < 3

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

y = \frac{x ^{2}}{x - 2}

(- 3, - 11), (8, - 42)

(- 6.3) (10.3)

f (x) = \frac{4 x ^{2} + 7 x + 27}{( x - 3 ) ( x + 4 )}

What is the domain of f(x)=ln(x)+ln(3-x) ?
The domain of f(x)=ln(x)+ln(3-x) is 0<x<3