Logarithm Calculator With Steps

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log_b(x)

2.00000000000

Steps

  • log_10(100) = ln(100) / ln(10)
  • = 4.6051702 / 2.3025851
  • = 2.00000000000

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How to Use

Choose log or power mode, set base, and enter x or y. Steps show the change-of-base rationale.

Formula

log_b(x) = ln(x)/ln(b); b^y = e^{y ln b}

FAQ

log(0)?
Undefined—enter positive x for logarithms.
Base 1?
Invalid base for logs—choose b>0, b≠1.
Natural log?
Use base e ≈ 2.71828 in log mode.

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