0; x>-2\\ x>0, x\neq1\\ log_4(x+2)\frac{log_42}{log_4x}=1\\ \frac{log_4(x+2)}{2log_4x}=1\\ log_4(x+2) = log_4x^2\\ x^2 - x - 2 = 0\\ x = 2, x=-1" alt="x+2>0; x>-2\\ x>0, x\neq1\\ log_4(x+2)\frac{log_42}{log_4x}=1\\ \frac{log_4(x+2)}{2log_4x}=1\\ log_4(x+2) = log_4x^2\\ x^2 - x - 2 = 0\\ x = 2, x=-1" align="absmiddle" class="latex-formula">
x = -1 - не подходит
х = 2