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Find the value of (log)(2sqrt(3))1728....

Find the value of `(log)_(2sqrt(3))1728.`

Text Solution

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Let ` log_((2)sqrt3) 1728 = x`
`rArr1728 = (2sqrt3)^(x)`
` rArr(2^(6)3^(3))=(2sqrt3)^(x)`
` rArr (2 sqrt3)^(6) = (2sqrt3)^(x)`
` rArr x = 6`
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Knowledge Check

  • If log_sqrt(2)x=a then which of the following is the value of log_(2sqrt(2))x ?

    A
    `(a)/(3)`
    B
    a
    C
    2a
    D
    3a

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