What is the domain of f(x)=ln(x)+ln(2-x) ?

The domain of f(x)=ln(x)+ln(2-x) is 0<x<2

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domain of f(x)=ln(x)+ln(2-x)

domain

f (x) = ln (x) + ln (2 - x)

0 < x < 2

Interval Notation

(0, 2)

Solution steps

Find positive values for logs:

0 < x < 2

The function domain

0 < x < 2

f (x) = x - 2 - 3

f (x) = 6 x^{2} + 1

(1.6, 0.3365), (2.4, 0.574)

f (x) = x^{3} - 12 x + 3

\frac{3}{2} sin (2 π x)

What is the domain of f(x)=ln(x)+ln(2-x) ?
The domain of f(x)=ln(x)+ln(2-x) is 0<x<2