Log3 (2x + 1) log3 (2x+1) = 3-log3 (x-1) log3 (x-1)

log3 (2x + 1) log3 (2x+1) = 3-log3 (x-1) log3 (x-1)

(log^2 (2x+1) / (log^2 3) = 3 - (log^2 (x-1) / (log^2 3)

(2x+1) / 3 = 9/3 - (x-1) / 3

(2x+1-9+x-1) / 3=0

(3x-9) / 3=0

x-3=0

x=3

3 = log3 27

log3 (2x + 1) log3 (2x+1) = log3 27-log3 (x-1) log3 (x-1)

log3 (2x + 1) log3 (2x+1) = log3 27 / (log3 (x-1) log3 (x-1))

(2x+1) (2x+1) = 27 / ((x-1) (x-1))

(2x+1) ^2 = 27 / (x-1) ^2

(2x+1) ^2 * (x-1) ^2 = 27 при (x-1) ^2 неравно 0, следовательно x неравен 2

(4x^2 + 4x + 1) * (x^2 + 2x + 1) = 27