Find the x intercept of the graph of y 2 log sqrtx 1 2 So

Find the x intercept of the graph of y = 2 log( sqrt(x - 1) - 2) ???

Solution

Solve: 0 = 2 log( sqrt(x - 1) - 2)
Divide both sides by 2: log( sqrt(x - 1) - 2) = 0
Use the fact that log(1)= 0: sqrt(x - 1) - 2 = 1
Rewrite as: sqrt(x - 1) = 3
Raise both sides to the power 2: (x - 1) = 3²
x - 1 = 9
x = 10

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