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If log[10]x-log[10]sqrtx=2logx10, then p...

If `log_[10]x-log_[10]sqrtx=2log_x10`, then possible value of x is given by

Text Solution

Verified by Experts

`log_10x-log_10sqrtx = 2log_x10`
`=>log_10(x/sqrtx) = 2/log_10x`
`=>log_10(x)^(1/2) = 2/log_10x`
`=>1/2log_10x = 2/log_10x`
`=>(log_10x)^2 = 4`
`=>log_10x = 2`
`=>x = 10^2 = 100`
`:. x = 100`
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Knowledge Check

  • If log_(10)x-log_(10)sqrt(x)=2log_(x)10 , then a possible value of x is given by

    A
    A)10
    B
    B)100
    C
    C)1000
    D
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  • If log_(10 ) x - log_(10) sqrt(x) = (2)/(log_(10 x)) . The value of x is

    A
    `10^(-3 )`
    B
    `10^(-2)`
    C
    `(1)/(10)`
    D
    10

  • If log_(10)[log_(10)[log_(10)(log_(10)x]]=0 then the value of x is

    A
    `10^(10)`
    B
    `10^((10^(10)))`
    C
    `10^(-10)`
    D
    `(10^10)^2`

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