Logarithm Calculator
Compute logarithms (logs) in any base with change-of-base steps and natural/common presets. Solve log₂(32) = 5 instantly — free, local, no signup.
How to Use the Logarithm Calculator
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Frequently Asked Questions
What is log₂(32)?
5 — because 2⁵ = 32. Logarithms ask 'to what power' and the tool answers with the derivation.
Change of base?
log_b(x) = ln(x)/ln(b) — any base computes from naturals. The steps show the division explicitly.
Domain limits?
Positive arguments with bases ≠ 1 only — log(0) and negatives are undefined in reals. Invalid inputs explain why, not just error.
Do log values upload?
No — math runs locally in your browser. Numbers never leave your device.
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Last updated October 2026