Question

Number of digits is x^200
If logx=2

Answer 1

let. x^200=y
then applying log on both sides
log x^200=logy
200logx=logy
200(2)=logy
log Y=400
y has 401 digits
and x^200 has 401 digits

Answer 2

logx=2
we know logx^m=mlogx
now,
logx^200=200logx=200 x 2=400
hence 401 digits in x^200