Solve for X. Give exact answer in form of fraction.

Question

ln 27+ln(x-8)=ln(9x-8)

Answer 1

ln 27(x-8) = ln(9x-8)
logs are equal, so values are equal:
27(x-8) = 9x-8
27x - 216 = 9x - 8
18x = 208
x = 104/9