SOLUTION: Given f(x) = "log base a of x" please describe the restrictions on a and the restrictions on x

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Question 315732: Given f(x) = "log base a of x" please describe the restrictions on a and the restrictions on x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since log%28a%2C%28x%29%29=log%2810%2C%28x%29%29%2Flog%2810%2C%28a%29%29, this means that the restrictions on 'a' are very similar to the restrictions on 'x'. However, we must make sure that log%2810%2C%28a%29%29%3C%3E0. So this means that a%3C%3E1


For 'x', we can plug in any positive number (since we cannot take the log of 0 or any negative number). So this means that x%3E0. Because the conditions on 'a' are similar, this means that a%3E0 as well but we must add that a%3C%3E1

Let me know if this makes sense to you.