Find in terms of a, the range of x that satisfy the inequality

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- Aug 24th 2012, 07:39 PMPunchfind the range of values of x
Find in terms of a, the range of x that satisfy the inequality

- Aug 24th 2012, 09:02 PMProve ItRe: find the range of values of x
First of all, you need to note that a logarithm is only defined for positive values, so . This requires that both and are positive, which means and are also both positive. Then we have

Now solving the original inequality

So finally, the solution of this inequality is the intersection of these two sets...

- Aug 25th 2012, 05:58 AMPunchRe: find the range of values of x
I agree that but i do not agree that this requires both and to be positive.

If I sub x=-0.5 and taking a=1, - Aug 25th 2012, 06:06 AMProve ItRe: find the range of values of x