What is the domain of f(x)= 3/(log_{2)(x)-4} ?

The domain of f(x)= 3/(log_{2)(x)-4} is 0 16

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domain of f(x)= 3/(log_{2)(x)-4}

domain

f (x) = \frac{3}{lo g _{2} ( x ) - 4}

0 < x < 16 or x > 16

Interval Notation

(0, 16) \cup (16, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 16

Combine real regions and undefined points for final function domain

0 < x < 16 or x > 16

- 2 x + 3

f (x) = \frac{3}{2 x}

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

f (x) = x + 1 + 1 - x

f (x) = 3 ∣ x - 4 ∣ + 2

What is the domain of f(x)= 3/(log_{2)(x)-4} ?
The domain of f(x)= 3/(log_{2)(x)-4} is 0<x<16\lor x>16