SOLUTION: Domain of Logarithmic Functions: Find the domain of each of the following log functions: A) f(x) log base 6 (x-3) B) g(x) = log base 2 |x+2|

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Question 297552: Domain of Logarithmic Functions: Find the domain of each of the following log functions:
A) f(x) log base 6 (x-3)
B) g(x) = log base 2 |x+2|

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the domain of each of the following log functions:
A) f(x) log base 6 (x-3)
x-3 must be positive.
Solve: x-3 >0
x > 3
Domain: All Real Numbers greater than 3.
---------------------------------------------

B) g(x) = log base 2 |x+2|
(x+2) cannot be 0
Solve: x+2 = 0
x = -2
Domain: All Real Numbers except x = -2
===========================================
Cheers,
Stan H.

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