Question

find no of digits in 4^2013,if log 2=0.3010

Answer 1

Hey there ! ^_^ .

We know that a has n+1 digits if logx has n digits.

Log4^2013= 2013 log2²= 2(2013)log2

=4026(0.3010)

=1211.826

=1212

So 4^2013 has 1213 digits.

Answer 2

Hope it helps

Thank for asking