Final answer:
To solve the simultaneous equations log2 x + log2 y = 2 and log2 x + log2 y = 0, we can combine the logarithms using the property that the log of a product is the sum of the logarithms. This simplifies the equation to xy = 4 and xy = 1. Solving these equations gives x = 1 and y = 4.
Step-by-step explanation:
To solve the simultaneous equations log2 x + log2 y = 2 and log2 x + log2 y = 0, first we can combine the logarithms using the property that the log of a product is the sum of the logarithms. So, we have log2(xy) = 2 and log2(xy) = 0.
Next, we can simplify the equation to get xy = 2^2 = 4 and xy = 2^0 = 1.
Finally, we can solve these two equations to find the values of x and y. Since xy = 4 and xy = 1, we can conclude that x = 1 and y = 4.