one f.3 log question

log(x + 3) + log(x - 3) = 3log3

log[(x + 3)(x - 3)] = log9 ...... (loga + logb= logab)

log[(x + 3)(x - 3)] = log3³ ...... (logaᵏ =kloga)

(x + 3)(x - 3) = 3³ ...... (If loga = logb, thena = b)

x² - 9 = 27 ......(Expansion of (x + 3)(x - 3))

x² = 36...... (rearrangement)

x = 6or x = -6(rejected for log of negative number is undefined)

Hence, x= 6