Question

Найти целое решение неравенства, важен ответ

Answer 1

$log_{1/2}(2^x-128) geq -7\\OD3:2^x-128 textgreater 0\2^x textgreater 128\2^x textgreater 2^7; ; (2 textgreater 1)\OD3:x textgreater 7\\log_{1/2}(2^x-128) geq log_{1/2}128\ (0 textless 1/2 textless 1)\2^x-128 leq 128\2^x leq 2*128\2^x leq 2^8\x leq 8\\xin(7;8],; xin Z\\x=8$