Math & Statistics · Tool #16
Logarithm Calculator
Calculate logarithms for common, natural and custom bases.
Logarithm Inputs
Calculate a logarithm for a selected base.
log₍b₎(x) = ln(x) ÷ ln(b), with x > 0, b > 0 and b ≠ 1.
Logarithm Result
Logarithm plus natural and common logs.
Logarithm
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Natural log
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Common log
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How to use this calculator
What to enter
Enter or select the following as requested: Value; Base; Common base. Follow the units, valid ranges, examples, and options displayed beside each field.
What the result means
The mathematical result follows the operation or function named by the calculator using the values or expression entered. Check the domain, sign conventions, integer requirements, and any restrictions shown by the tool.
When to use it
Use this to solve or verify an algebra, number-theory, sequence, or complex-number problem. Confirm the input format and check exact versus rounded output when precision matters.