The correct answer is: B.
Let's solve the given logarithmic equation:
log2(√(x - 2)) = 3
To eliminate the logarithm, rewrite the equation in exponential form:
23 = √(x - 2)
8 = √(x - 2)
Now, square both sides to isolate the square root:
64 = x - 2
Add 2 to both sides:
x = 66
Therefore, the value of x is 66.the correct answer is B. 66.