What is the domain of f(x)=-5log_{10}(x-2) ?

The domain of f(x)=-5log_{10}(x-2) is x>2

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domain of f(x)=-5log_{10}(x-2)

domain

f (x) = - 5 lo g_{10} (x - 2)

x > 2

Interval Notation

(2, \infty)

Solution steps

Find positive values for logs:

x > 2

The function domain

x > 2

f (x) = ln (x^{2} - 6 x)

y = 2 x + 3 - 4

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

f (x) = \frac{2}{( x - 1 )}

\frac{2}{\frac{5}{x - 1} + 3}

What is the domain of f(x)=-5log_{10}(x-2) ?
The domain of f(x)=-5log_{10}(x-2) is x>2