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A logarithm is the inverse of exponentiation. log_b(x) answers "to what power must b be raised to get x?" Common logarithm (base 10) is used in science; natural logarithm (base e) in calculus; binary logarithm (base 2) in computer science.

단계별 가이드

  1. 1log_b(x) = n means b^n = x
  2. 2Common log: log₁₀(1000) = 3 because 10³ = 1000
  3. 3Natural log: ln(e) = 1 because e^1 = e
  4. 4Change of base: log_b(x) = log(x) / log(b)

풀어진 예시

입력
log₁₀(10,000)
결과
4
10⁴ = 10,000
입력
log₂(256)
결과
8
2⁸ = 256
입력
ln(20.09)
결과
≈ 3
e³ ≈ 20.09

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