Verified answer

log(4x-5)-log(x-6)=1 or

log[(4x-5)/(x-6)] =1. If base of logarithm is b, then

[(4x-5)/(x-6)] = b or

4x -5 = bx - 6b or

(b-4)x = (6b -5) or

x = (6b-5)/(b-4) if b = 10 then x = 55/6