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algebra 2

posted by on .

SOLVE= log[6](x+3)+log[6](x+2)<2

A)-6<x<7
B)-6<x<2
C)3<x<7
D)-2<x<3


PLEASE HELP!!

  • algebra 2 - ,

    log[6](x+3)+log[6](x+2)<2
    log[6]((x+3)(x+2))<2
    (x+3)(x+2) < 36
    x^2 + 5x + 6 < 36
    x^2 + 5x - 30 < 0

    1/2 (-5-√145) < x < 1/2 (-5+√145)

    Hmm. There appears to be a typo. However,

    (x-3)(x+2) < 36
    x^2 - x - 6 < 36
    x^2 - x - 42 = 0
    (x-7)(x+6) < 0
    -6 < x < 7

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