Logarithm to a chosen base

Calculate logarithm to a chosen base and see the working behind your result.

Inputs

Use the units shown
RESULT
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Enter your values and select Calculate.

Formula & explanation
logᵦ(x) = ln(x)/ln(b)

Variables & units

Positive number
Numeric value · minimum 0.000001, maximum 1000000
Logarithm base
Numeric value · minimum 0.000001, maximum 1000000

Worked example

log₁₀(100) = 2.

Assumptions

The number and base must be positive; the base cannot be one.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

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