Question

IF log2= 0.3010 then find number of digits in 5^20

Answer 1

Let x = $5^{20}$
Taking logarithm on both sides
⇒ logx = log $5^{20}$
⇒logx = 20log 5
⇒logx = 20(0.699)       where log5 = 0.699 
⇒logx = 13.98
⇒ The characterstic of x is 13
⇒ The characterstic of $5^{20}$ is 13

Therefore, the number of digits in $5^{20}$ is 14.

Answer 2

Answer:

14 no of digits...............