What is the domain of ln(x)5-3log_{3}(1-2x) ?

The domain of ln(x)5-3log_{3}(1-2x) is 0<x< 1/2

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domain of ln(x)5-3log_{3}(1-2x)

domain

ln (x) 5 - 3 lo g_{3} (1 - 2 x)

0 < x < \frac{1}{2}

Interval Notation

(0, \frac{1}{2})

Solution steps

Find positive values for logs:

0 < x < \frac{1}{2}

The function domain

0 < x < \frac{1}{2}

f (x) = 7^{x} - 3

- \frac{9 - 8 x}{7 x + 8}

f (x) = lo g_{10} (x^{2} - 4 x - 12)

f (x) = 3 + 2 x

g (x) = x^{2} + 5 x + 6

What is the domain of ln(x)5-3log_{3}(1-2x) ?
The domain of ln(x)5-3log_{3}(1-2x) is 0<x< 1/2