SOLUTION:
find the domain of f(x)=log(x-5) squared
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Question 818644:
find the domain of f(x)=log(x-5) squared
Found 2 solutions by jsmallt9, LinnW:
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The answer depend on what is being squared. Is it
or
?
Since I don't know which is right I cannot solve the problem. But I can tell you what to do. The arguments of all logarithms must be positive. So the solution will be whatever x-values will make the argument positive. So:- If the first equation is correct, then argument is x-5. The domain will be the solution to:
x - 5 > 0 - If the second equation is correct, then the argument is .. The domain will be the solution to:
Note: Since squaring something never results in a negative, the only x's that are not in the domain are the x's that make zero. So an alternate way to find the domain is to solve:
and then the domain is all real numbers except the solution(s) to the equation above.
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
If you mean
then the domain is all real numbers since
will always result in a positive number.
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