Subject:  Algebra

Evaluate log₂(64)

Use the change-of-base formula to compute a logarithm with base 2.

Answer log₂(64) = 6

Solution

  1. Expression log₂(64)
  2. Change of base logₐ(x) = ln(x) / ln(a) = 4.15888 / 0.693147
  3. Result = 6
  4. Check 2^6 ≈ 64

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