Find the number of digits in `4^(2013)` , if `log_(10) 2 = 0.3010.`

The number of digits in 20^(301) (given log_(10)2=0.3010) is

Find number of roots of the equation x^(3)-log_(0.5) x = 0 .

Find the number of solutions to the equation x+log_(e)x=0 .

If log_(10) 2 = 0.3010 and log_(10) 3 = 0.477 , then find the number of digits in the following numbers: (a) 3^(40)" "(b) 2^(32) xx 5^(25)" (c) 24^(24)

Prove that log_(10)2gt0.3

Given that log(2)=0. 3010 , the number of digits in the number 2000^(2000) is 6601 (b) 6602 (c) 6603 (d) 6604

The number of solutions of log_(4)(x-1)= log_(2) (x-3) .

There are 3 number a, b and c such that log_(10) a = 5.71, log_(10) b = 6.23 and log_(10) c = 7.89 . Find the number of digits before decimal in (ab^(2))/c .

Find the number of n digit numbers, which contain the digits 2 and 7, but not the digits 0, 1, 8, 9.