Question

Помогите решить уравнение:
$121^{x} -7*11^{x} =5*11^{x} -11$

Answer 1

$121^{x} -7*11^{x} =5*11^{x} -11$

$121^{x} -12*11^{x} +11=0$

$121^{x} -11^{x} -11*11^x+11=0$

$11^x(11^{x} -1) -11(11^x-1)=0$

$(11^{x} -1) (11^x-11)=0$

$11^{x} -1=0; 11^x-11=0$

$11^{x} =1; 11^x=11$

$x =0; x=1$