Single correct option
If log₂(log₃(log₄ x)) = 0, then x equals:
- A. 16
- B. 64
- C. 81
- D. 256
Show answer and solution
Answer: (B) 64
Remove the logs one layer at a time, from the outside in.
log₂(y) = 0 means y = 1, so log₃(log₄ x) = 1.
Then log₄ x = 3¹ = 3.
So x = 4³ = 64.
Why 81 or 256 are tempting: they come from mixing up the bases (3⁴ = 81, 4⁴ = 256).
log₂(y) = 0 means y = 1, so log₃(log₄ x) = 1.
Then log₄ x = 3¹ = 3.
So x = 4³ = 64.
Why 81 or 256 are tempting: they come from mixing up the bases (3⁴ = 81, 4⁴ = 256).
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