What is the domain of f(x)=ln|2x-3| ?

The domain of f(x)=ln|2x-3| is x 3/2

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domain of f(x)=ln|2x-3|

domain

f (x) = ln ∣ 2 x - 3 ∣

x < \frac{3}{2} or x > \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Find positive values for logs:

x < \frac{3}{2} or x > \frac{3}{2}

The function domain

x < \frac{3}{2} or x > \frac{3}{2}

49 - x^{2}

2 (x + 3)^{2} - 1

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

x^{2} - 2 x - 15

f (x) = \frac{\frac{x}{x + 2}}{\frac{x}{x + 2} + 2}

What is the domain of f(x)=ln|2x-3| ?
The domain of f(x)=ln|2x-3| is x< 3/2 \lor x> 3/2