Question 272469
(log(5x-6))/log(x) = 2

log (5x-6) = 2*log (x) 
log (5x-6) = log (x^2)

So:

5x-6 = x^2
x^2 - 5x + 6 = 0
(x-3)*(x-2) = 0

x = 3 and x = 2.