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Let a, b, c, d are positive integers suc...

Let a, b, c, d are positive integers such that ` log _(a) b=(3)/(2)` and `log _(e) d=(5)/(4)` . If (a-c)=9, find the value of (b-d)

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The correct Answer is:
93
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Let a,b,c,d be positive integers such that log_(a)b=(3)/(2) and log_(c)d=(5)/(4). If (a-c)=9, then find the value of (b-d)

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Knowledge Check

  • Let a , b , c , d are positive integer such that log_(a)b=3//2 and log_(c)d=5//4 . If a-c=9 , then value of (b-d) is equal to

    A
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    B
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    C
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  • If x = (1)/(2) log _(k) b = (1)/(3) log _(b) c = ( 1)/(4) log _(c) d, then log_(k) d is

    A
    `6x ^(3)`
    B
    `2x ^(3)`
    C
    `12 x ^(3)`
    D
    `24 x ^(3)`

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