SOLUTION: Considering the logarithmic function: y=-log5(x-2)+3 What is the domain of this logarithmic function?

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Question 735420: Considering the logarithmic function: y=-log5(x-2)+3
What is the domain of this logarithmic function?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Considering the logarithmic function: y=-log5(x-2)+3
What is the domain of this logarithmic function?
.
The domain specifies the range of values x can take.
For your function, the only thing you must consider is that you can only take the log of a number that is greater than 0.
.
x-2>0
x > 2 (this is your domain)
OR, in interval notation:
(2, +oo)
where
+oo stands for positive infinity