Source: Extra Practice

Find the value of x if log_2 (log_3 (log_2 x)) = 1.

Options

Option A is correct

x = 2^9

Option B is correct

x = 512

Option C

x = 8

Option D

x = 64

Explanation

Starting from the outside: log_2(...) = 1 means log_3 (log_2 x) = 2^1 = 2. Next, log_3(...) = 2 means log_2 x = 3^2 = 9. Finally, log_2 x = 9 means x = 2^9 = 512. (Note: In this specific formatting, both 2^9 and 512 represent the same value, but for curriculum accuracy, 512 is the simplified integer solution).