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

The domain of f(x)=log_{2}(x-2)+3 is x>2

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

domain

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

x > 2

Interval Notation

(2, \infty)

Solution steps

Find positive values for logs:

x > 2

The function domain

x > 2

f (x) = \frac{x + 5}{- 3 x - 3}

\frac{x + 6}{x ^{2} + 5 x - 6}

f (x) = x 36 - x^{2}

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

lo g_{5} (x + 4)

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