Question

Найти корень уравнения:
㏒₂(x+2)=㏒₂11

Answer 1

$\displaystyle\bf\\ODZ:\\\\x+2 > 0 \ \ \ \Rightarrow \ \ \ x > -2\\\\\\\log_{2} (x+2)=\log_{2} 11\\\\x+2=11\\\\x=9\\\\Otvet: \ x=9$