How do you find the domain of #y=log_3 (x-2)#?

1 Answer
Daniel L.
Oct 5, 2016

The domain is: #D=(2;+oo)#. See explanation.

Explanation:

The domain of a function is the biggest subset of real numbers set for which the value of function is defined.

Here we have to assume that #x-2>0# because logarythm is only defined for positive numbers. So we get:

#x-2>0#

#x>2#

If we write this set as an interval we get: #x in (2;+oo)#

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