Question

Log3(x-2)=2-log2(x+6)​

Answer 1

{log3(x-2)(x+6)=2,x+6>0}

{log3(x^2+4x-12)=log3(9),x>-6}

{x^2+4x-12=9,x>-6}

{x^2+4x-21=0,x>-6}

{(x-3)(x+7)=0,x>-6}

x=3