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If P is the number of natural number wh...

If P is the number of natural number whose logarithms to the base 10 have the characteristic p and Q is the number of natural numbers logarithms of whose reciprocals to the base 10 have the characteristic -q, then find the value of ` log_(10)P-log_(10) Q`.

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The correct Answer is:
`=p-q+1`
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Knowledge Check

  • Standard deviations for first 10 natural numbers is :

    A
    5.5
    B
    3.87
    C
    2.97
    D
    2.87

  • The number of naturally occurring p-block elements that are diamagnetic is

    A
    18
    B
    6
    C
    5
    D
    7

  • If p, q, r are real numbers then:

    A
    max. (p, q) `lt` max. (p, q, r)
    B
    min. `(p, q)=(1)/(2)(p+q-|p-q|)`
    C
    min. (p, q) = min. (p, q, r)
    D
    None of these

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