A quick problem from the Oxford maths admission exam.
The problem is as follows.
Take log(x) to be log base 10 rather than base 2 in this question. Given that log(2) = 0.3010 to 4 decimal places and that 10^(0.2) <2, find the first digit of 2¹⁰⁰ and its length.
Please note that these…