SOLUTION: I know that the answer is (- Infinit, 2), but I cannot figure out how to solve it. Any help would be appreciated. Thank you. - Find the domain of the logarithmic function f

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Question 546122: I know that the answer is (- Infinit, 2), but I cannot figure out how to solve it. Any help would be appreciated.
Thank you.
- Find the domain of the logarithmic function f(x)=log(10-5x)base2.

Answer by NAMath(12)   (Show Source): You can put this solution on YOUR website!
The answer is -infinity, 2 because a logarithm cannot be a negative number and
10-5x=0
10=5x
x=2
So this means that x cannot be greater than two otherwise it would cause you to have a negative logarithm which is not possible.

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