How do you find the domain of the following function $g (x) = {log}_{3} (x - 4)$ $g(x) = log_3(x - 4)$ ?

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How do you find the domain of the following function $g (x) = {log}_{3} (x - 4)$ $g(x) = log_3(x - 4)$ ?

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Answer 1 · 2015-12-15T09:57:44

The domain is $x > 4$ $x > 4$ .

Explanation:

To find a domain of any logarithmic expression (the base doesn't matter), you need to find out for which $x$ $x$ the argument of the logarithmic expression is greater than zero.

So, in your case, all you need to do is set

$x - 4 = 0$ $x - 4 = 0$

and solve this simple equation:

$x = 4$ $x = 4$

This means that your domain is $x > 4$ $x > 4$ and your function is only defined for such $x$ $x$ .

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How do you find the domain of the following function $g (x) = {log}_{3} (x - 4)$ $g(x) = log_3(x - 4)$ ?

1 Answer

Explanation:

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How do you find the domain of the following function g(x) = log_3(x - 4)g(x)=log3(x−4)g(x) = log_3(x - 4)?

1 Answer

Explanation:

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How do you find the domain of the following function $g (x) = {log}_{3} (x - 4)$ $g(x) = log_3(x - 4)$ ?