Question

2^x×5^x <10^x^2×0.01

Answer 1

$2^x*5^x textless 10^{x^2}*0,01\(2*5)^x textless 10^{x^2}*0,01\10^x-10^{x^2}*0,01 textless 0\10^x(1-10^x*0,01) textless 0\10^x textgreater 0\1-10^x*0,01 textless 0\10^x*0,01 textgreater 1\10^x*10^{-2} textgreater 10^0\10^{x-2} textgreater 10^0\x-2 textgreater 0\x textgreater 2\xin(2;+infty)$