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

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> 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      Log On


   



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) About Me  (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.