Answer:
x = 2, y = 3
Explanation:
Log x + log y = log 6 Log xy = Log 6 xy = 6
y = 6/x
Log(x-1)+2 Log y=2 Log 3
Log(x-1) = 2 Log 3 - 2 Log y = Log 3² - Log y² = Log 9 - Log y² = Log (9 / y²)
x - 1 = 9/y²
x - 1 = 9 / (6/x)² = 9 /(36/x²) = x²/4
4x - 4 = x²
x² -4x + 4 = 0
(x-2)² = 0
x = 2
y = 6/x = 3