What is the domain of f(x)=log_{10}((x-3)/2) ?

The domain of f(x)=log_{10}((x-3)/2) is x>3

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domain of f(x)=log_{10}((x-3)/2)

domain

f (x) = lo g_{10} (\frac{x - 3}{2})

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

The function domain

x > 3

(x^{2} + x)^{2} + (x^{2} + x)

2 x + x^{2}

f (x) = 5 x^{2} + 9 x - 8

\frac{8 x}{9 x - 4}

f (x) = \frac{8 x}{x - 5}

What is the domain of f(x)=log_{10}((x-3)/2) ?
The domain of f(x)=log_{10}((x-3)/2) is x>3