Log9 (x-3) + log9 (x-3) = 1

Solve for x over the real numbers:

log (9, x - 3) + log (9, x - 3) = 1

log (9, x - 3) + log (9, x - 3) = (2 log (x - 3)) / (log (9)):

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

Divide both sides by 2 / (log (9)):

log (x - 3) = (log (9)) / 2

(log (9)) / 2 = log (sqrt (9)) = log (3):

log (x - 3) = log (3)

Cancel logarithms by taking exp of both sides:

x - 3 = 3

Add 3 to both sides:

Answer: x = 6