SOLUTION: What is the domain of the function f(x)=2+log(4)(3x-9) in set builder notation? the (4) is a lower base of 4 it's not actually in a parenthesis.

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Question 586021: What is the domain of the function f(x)=2+log(4)(3x-9) in set builder notation?
the (4) is a lower base of 4 it's not actually in a parenthesis.

Answer by lwsshak3(11628) About Me  (Show Source):
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What is the domain of the function f(x)=2+log(4)(3x-9) in set builder notation?
the (4) is a lower base of 4 it's not actually in a parenthesis.
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Before you can take the log of a numbers, the number>0, that is, you cannot take the log of a negative number. Thus, for given equation:
3x-9>0
3x>9
x>3
In set builder notation:
{x|x>3}