Thread: How to solve this logarithmic inequality

Hi all,
How can I solve this?


I tried with log_a (b) - log_a (c) = log_a (b/c) but the solution is (13+5x)/(x^2+5x+4)>=0 ...how is this possible?

Thanks in advance

Originally Posted by LiberChronicon

Hi all,
How can I solve this?

I tried with log_a (b) - log_a (c) = log_a (b/c) but the solution is (13+5x)/(x^2+5x+4)>=0 ...how is this possible?

You want to solve .

Okay, as you say, is the same as .

Further , for any a< 1, if and only if . That is, your inequality is the same as .

Subtracting 1 from both sides, .

Now, multiply both sides by -1.