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

If P is the number of natural numbers whose logarithms to the base 10 have the characteristic pa n dQ 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)Qdot

Let x=(0. 15)^(20)dot 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.

A rational number which is 50 times its own logarithm to the base 10, is

Let L denote antilog_32 0.6 and M denote the number of positive integers which have the characteristic 4, when the base of log is 5, and N denote the value of 49^((1-(log)_7 2))+5^(-(log)_5 4.) Find the value of (L M)/Ndot

Find the number of positive integers which have the characterstics 3, when the base of the logarithm is 7.

Find the number of positive integers which have the characterstics 3 when the base of the logarithm is 7

There exists a natural number N which is 50 times its own logarithm to the base 10, then N is divisible by

where the base of logarithm is ?

There exists a natural number N which is 50 times its own logarithm to the base 10, then N is divisible by 5 (b) 7 (c) 9 (d) 11