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

Explanation

`10^p<=p<10^(p+1)`

`p=10^(p+1)-10^p`

`=10^p*q`

`=9.10^p`

Simialrly,

`10^(q-1)ltQ<=10^q`

`Q=10^q-10^(q-1)`

`=9*10^(q-1)`

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