If logx y = 100 and log2 x = 10, then the value of y is:

Solution (step-by-step):

1. From log_2 x = 10, we get x = 2^10.

2. From log_x y = 100, we have y = x^100.

3. Substitute x = 2^10 into y = x^100 to get y = (2^10)^100 = 2^(10 × 100) = 2^1000.

4. Therefore, y = 2^1000.