Question

Find the number of digits in 8^57(given that log2=0.3010)​

Answer 1

Answer:

8^57= 2^(3*57) =2^171

now,

log (2^171) = 171x log 2

= (171x 0.30103)

= 51.4761293

Its characteristic is 51.

Hence, then number of digits in 2^171=8^57 is 52.