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

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

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

domain

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

x > 2

Interval Notation

(2, \infty)

Solution steps

Find positive values for logs:

x > 2

The function domain

x > 2

f (x) = \frac{12 x}{x ^{2} + 4}

f (x) = x^{3} \cdot e^{(- x)}

f (x) = cot (\frac{x}{2} - \frac{π}{4}) + 1

x^{\frac{1}{7}} (x + 8)

f (x) = \frac{( x ^{2} - 3 x + 2 )}{( x ^{2} + 2 x - 3 )}

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