Explanation:
We can solve for x using the properties of logarithms as follows:
log2 (5x - 2) = -2
2^(-2) = 5x - 2 (using the definition of logarithms)
1/4 = 5x - 2 (simplifying 2^(-2))
5x = 2 + 1/4 = 9/4
x = 9/20
Therefore, the solution to the equation log2 (5x - 2) = -2 is x = 9/20.