How do I work out this problem? Ln (5x-3) = Ln9-Ln (x-3)

Using the laws of logs, the equation can be simplified to:

5x - 3 = 9 / (x - 3)

Cross-multiplying gives:

(5x - 3) (x - 3) = 9

Expanding and rearranging, we get:

5x^2 - 18x = 0

which factorizes to:

x (5x - 18) = 0

Therefore x = 0, 3 3/5.