What is the domain of f(x)=ln(x)+log_{3}(3-2x) ?

The domain of f(x)=ln(x)+log_{3}(3-2x) is 0<x< 3/2

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domain of f(x)=ln(x)+log_{3}(3-2x)

domain

f (x) = ln (x) + lo g_{3} (3 - 2 x)

0 < x < \frac{3}{2}

Interval Notation

(0, \frac{3}{2})

Solution steps

Find positive values for logs:

0 < x < \frac{3}{2}

The function domain

0 < x < \frac{3}{2}

y = 2 x + 16

\frac{x ^{4} + 1}{x ^{2}}

f (x) = lo g_{10} (\frac{3}{9 - x ^{2}})

f (x) = (\frac{1}{2})^{x + 3} - 4

What is the domain of f(x)=ln(x)+log_{3}(3-2x) ?
The domain of f(x)=ln(x)+log_{3}(3-2x) is 0<x< 3/2