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

Model Answer & Options

Source: Extra Practice

x = 2^9

x = 512

x = 8

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).

Take Topic Quiz

Test your understanding of this topic with instant AI feedback.

Start Interactive Test

Explore the Full Topic

This is just one question from the topic "Logarithm".

View All Questions

Related Questions