What is the domain of f(x)=ln(x)+ln(7-x) ?

The domain of f(x)=ln(x)+ln(7-x) is 0<x<7

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domain of f(x)=ln(x)+ln(7-x)

domain

f (x) = ln (x) + ln (7 - x)

0 < x < 7

Interval Notation

(0, 7)

Solution steps

Find positive values for logs:

0 < x < 7

The function domain

0 < x < 7

\frac{1}{x ^{2} - 7 x + 12}

f (x) = \frac{3 x ^{3} - 6 x ^{2}}{x - 2}

- 5 cos (3 x)

f (x) = 5 tan (x + \frac{π}{6})

f (x) = \frac{x + 6}{x ^{2} + 5 x}

What is the domain of f(x)=ln(x)+ln(7-x) ?
The domain of f(x)=ln(x)+ln(7-x) is 0<x<7