Solve the simultaneous equation
Log(x-1)+2 log y=2 log 3
Log x + log y = log 6

x = 2, y = 3

Step-by-step 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

step-by-step explanation:

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