What is the domain of f(x)=log_{4}(x-1) ?

The domain of f(x)=log_{4}(x-1) is x>1

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domain of f(x)=log_{4}(x-1)

domain

f (x) = lo g_{4} (x - 1)

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

f (x) = 2 - csc (x)

f (x) = \frac{3 x - 5 e ^{x}}{x ^{2} ( x - 4 )}

f (x) = 3^{x - 1}

8 x + 5

f (x) = 8 x + 40

What is the domain of f(x)=log_{4}(x-1) ?
The domain of f(x)=log_{4}(x-1) is x>1