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

The domain of log_{2}(x-3),x>= 4 is x>= 4

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domain of log_{2}(x-3),x>= 4

domain

lo g_{2} (x - 3), x \geq 4

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Set the domain to the given interval

x \geq 4

Find positive values for logs:

x > 3

Join real regions with the domain:

x > 3 and x \geq 4

x \geq 4

y = lo g_{7} (3 x - 2)

y = 5 x^{2} + 2 x + 8

f (t) = 10 (t^{3} + 4 t^{2} + t - 6)

f (x) = 2 x^{2} + 6 x + 13

What is the domain of log_{2}(x-3),x>= 4 ?
The domain of log_{2}(x-3),x>= 4 is x>= 4