Logarithm Calculator
How do I calculate a logarithm?
Result
How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- Use the Share button to copy a link to your result.
About this calculator
This tool calculates the logarithm of a number in any base you choose, answering the question "to what power must the base be raised to get this number", and also reports the same value's natural log (ln, base e) and base-10 log for convenience, since those two bases show up constantly in science and engineering formulas. Logarithms are the inverse of exponentiation, so this calculator is effectively solving b^x = n for x given b and n.
It is used by students working through algebra and precalculus problems, and by anyone in a scientific or technical field dealing with quantities that span huge ranges — pH in chemistry, decibels in acoustics, the Richter scale in seismology, and signal-to-noise ratios in engineering are all logarithmic scales specifically because they compress enormous ranges of values into manageable numbers. Programmers and data analysts also reach for logarithms when transforming skewed data for statistical analysis or visualization.
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