SOLUTION: Please if someone could solve this inequality! Thank you for your time and help! {{{ log(abs(x),(5x^2-1))>2 }}}

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Question 1000654: Please if someone could solve this inequality!
Thank you for your time and help!

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
log(abs(x))(5x^2-1)) > 2
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|x|^2 > 5x^2-1
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Graph the left and the right side on the same coordinate
systerm and determine when the left side is greater than the right.
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Ans::
Cheers,
Stan H.
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Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

By using the absolute value of for the base,
they are just making sure the base is positive.
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The trick here, I think, is to express as a
log to the base
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( note that will be positive even if
is negative, giving me )
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Now I can say:




and also:

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Also, you can't have a log to a positive base which
gives you a negative result, so:




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These conditions are satisfied by my answers
so and are correct
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Defintely get a 2nd opinion if you can.
I think I'm right, but not positive

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