Решить уравнение: log6(2x-1)+log6(x)=log2(2) 1)2 2)-3/2 3)8 4){2; -3/2}

Log6(2x-1) + log6(x) = 1
log6(2x-1) + log6(x) - 1 = 0
log6(2x-1) + log6(x) - log6(6) = 0
log6(2x-1)*(x)/6 = 0
х(2х-1)/6 = 1
х(2х-1)/6 - 1 = 0
х(2х-1)/6 - 6/6 = 0
(х(2х-1) - 6)/6 = 0
х(2х-1) - 6 = 0
2х^2 - х - 6 = 0
D = 1^2 + 4*2*6 = 49
х1 = (1+7)/2*2 = 8/4 = 2
х2 = (1-7)/2*2 = -6/4 = -3/2 = -1,5