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log((3x+7))(2a^(7)+3)lt,AA a in R, then ...

`log_((3x+7))(2a^(7)+3)lt,AA a in R`, then x lies in the interval …………….

Text Solution

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The correct Answer is:
(-7/3,-2)`
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Knowledge Check

  • If |2x-3| lt|x+5|, then x lies in the interval

    A
    `(-3,5)`
    B
    (5,9)
    C
    `((-2)/3,8)`
    D
    `(-8,2/3)`

  • If log_(a3)(x-1) lt log_(a09)(x-1) , then x lies in the interval

    A
    `(2,oo)`
    B
    `(-2,-1)`
    C
    `(1,2)`
    D
    none of these

  • If "log"_(4)(3x^(2) +11x) gt 1 , then x lies in the interval

    A
    `(-4, 1//3)`
    B
    `(-4, 2)`
    C
    `[-4, 1//3]`
    D
    `(-oo, -4)cup (1//3, oo)`

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