Number of integers whose characteristic of logarithms to the base 10 is 3, is

If A is the number of integers whose logarithms to the base 10 have characteristic 11 and B then of integers,the logarithm of whose reciprocals to the base 10 have characteristic 4, then the (log_(10)A-log_(10)B) is equal to

Let N=10^(log2-2log(log10^(3))+log(log10^(6))^(2)) where base of the logarithm is 10. The characteristic of the logarithm of N the base 3, is equal to (a) 2 (b) 3 (c) 4 (d) 5

Negative characteristic of a logarithm of a given no.

The characteristic of the logarithm of 3.6275 is ______.

Let x=(0.15)^(20). Find the characteristic and mantissa of the logarithm of x to the base 10 . Assume log_(10)2=0.301 and log_(10)3=0.477

How many positive integers have characteristics 2 when base is 5.

The number of integers the logarithms of whose reciprocal to the base 10 have the characteristic -n are-

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 10have the charecteristics -q. then find the value of log_(10)P-log_(10)Q