![image](https://tex.z-dn.net/?f=log_2%28x%2B3%29-log_2%28x-3%29%3D1%5C%3B+%2C%5C%3B+ODZ%3Ax%3E3%5C%5C%5C%5Clog_2%5Cfrac%7Bx%2B3%7D%7Bx-3%7D%3Dlog_22%5C%5C%5C%5C%5Cfrac%7Bx%2B3%7D%7Bx-3%7D%3D2%5C%5C%5C%5C%5Cfrac%7Bx%2B3-2x%2B6%7D%7Bx-3%7D%3D0%5C%5C%5C%5C%5Cfrac%7B-x%2B9%7D%7Bx-3%7D%3D0%5C%5C%5C%5C-x%2B9%3D0%5C%3B+%2C%5C%3B+x%3D9)
3\\\\log_2\frac{x+3}{x-3}=log_22\\\\\frac{x+3}{x-3}=2\\\\\frac{x+3-2x+6}{x-3}=0\\\\\frac{-x+9}{x-3}=0\\\\-x+9=0\; ,\; x=9" alt="log_2(x+3)-log_2(x-3)=1\; ,\; ODZ:x>3\\\\log_2\frac{x+3}{x-3}=log_22\\\\\frac{x+3}{x-3}=2\\\\\frac{x+3-2x+6}{x-3}=0\\\\\frac{-x+9}{x-3}=0\\\\-x+9=0\; ,\; x=9" align="absmiddle" class="latex-formula">