0\Rightarrow x<3,5\\\log_2(7-2x)<\log_28\\7-2x<8\\2x>7-8\\2x>-1\\x>-\frac12\\x\in\left(-\frac12;\;3,5\right)" alt="\log_2(7-2x)<3\\O.D.3.:\;7-2x>0\Rightarrow x<3,5\\\log_2(7-2x)<\log_28\\7-2x<8\\2x>7-8\\2x>-1\\x>-\frac12\\x\in\left(-\frac12;\;3,5\right)" align="absmiddle" class="latex-formula">
Целочисленный решений четыре - 0, 1, 2, 3.