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).