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Logarithm

It looks for the exponent the base must be raised to in order to get the number.

Kind

How it is calculated

The number must be greater than zero. The base must also be greater than zero, and not 1.

log_b(a) = ln a / ln b

Where the numbers come from

  • Kind
  • Number
  • Base

Example

The common logarithm of 1000 is 3, because 10³ = 1000.

Questions

Are lg and ln the same?

lg here is common, ln is natural, base e.

Logarithm of 1?

Equals zero for any allowed base.

A negative number?

Among the real numbers the logarithm is not defined, and the calculator stops.