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Solve: (log)3(2x^2+6x-5)>1...

Solve: `(log)_3(2x^2+6x-5)>1`

Text Solution

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`log_3(2x^2+6x-5) gt 1`
`=> 2x^2+6x-5 gt 3^1`
`=> 2x^2+6x-8 gt 0`
`=> x^2+3x-4 gt 0`
`=> x^2+4x-x-4 gt 0`
`=> (x+4)(x-1) gt 0`
`:. x in (-oo,-4) uu (1,oo)`, is the solution for `x`.
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