Let 'L' denotes the antilog of 0.4 to the base 1024. and 'M' denotes the number of digits in `6^(10)` (Given log,02-03 and 'N' denotes the number of positive integers which have the characteristic 2, when base of the logarithm is 6. Find the value of LMN

Find the number of positive integer which have the characteristic 3 , when the base of the logarithm is 5

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

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Let L denote antilog 320.6 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 (LM)/(N) .

Let x=5^((log_5 2+log_5 3)) If 'd' denotes the number of digits before decimal in x^30 and 'c' denotes the number of naughts after decimal before a significant digit starts in x^(-20), then find the value of (d-c).

Find the number of integers which lie between 1 and 10^(6) and which have the sum of the digits equal to 12.

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

Let N denotes the number of odd integers between 550 and 800 using the digits 4,5,6,7,8 and 9. Find the sum of the digits in N .

Let a denotes the number of non-negative values of p for which the equation p.2^x +2^(-x)=5 possess a unique solution. Then find the value of 'a'.

Let a denotes number of digits in 2^(50),b denotes number of zero's after decimal and before first significant digit in 3^(50) and c denotes number of natural numbers have characteristic 3 with base 5, then (Given: log_(10)2=0.301 and log_(10)3=0.4771). The value of c-a xx b is