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

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

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

domain

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

x > 2

Interval Notation

(2, \infty)

Solution steps

Find positive values for logs:

x > 2

The function domain

x > 2

arcsin (2^{2 x} - 3 \cdot 2^{x} + 1)

\frac{x + 5}{( x - 1 ) ( x + 2 )}

p (x) = x^{2} - 2 x + 10

sin (x - 4)

f (x) = \frac{( t - 4 )}{4 t - 24}

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