What is the domain of f(x)=log_{3}(x-1)+3 ?

The domain of f(x)=log_{3}(x-1)+3 is x>1

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domain of f(x)=log_{3}(x-1)+3

domain

f (x) = lo g_{3} (x - 1) + 3

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

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

f (x) = 3 x - 3 + 4 - x^{2} - 11 - x - 2

f (x) = - 3 x^{2} + 6 x - 1

f (x) = \frac{x - 4}{5 - 2 x}

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

What is the domain of f(x)=log_{3}(x-1)+3 ?
The domain of f(x)=log_{3}(x-1)+3 is x>1