Question

Решите уравнение log2(x-1)+log2x=0,5*log3 9

Answer 1

log2(x-1)+log2x=0,5*2
log2(x-1)+log2x=log2 2
log2(x(x-1))=log2 2
 x^{2} -x=2
 x^{2} -x-2=0
 x1=-1 x2=2