Logarithm Calculator

Calculate the logarithm of a number with a specified base.

Log Calculator

log

(

)

Enter 'e' for natural log.

About Logarithms

The logarithm of a number to a given base is the exponent to which the base must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 10 to the power of 3 is 1000 (10³ = 1000).

Common Bases:

  • Base 10 (log): Often used in science and engineering.
  • Base e (ln): The natural logarithm, where `e` is Euler's number (~2.718). It is widely used in mathematics, physics, and finance.
  • Base 2 (log₂): Commonly used in computer science and information theory.

Formula: If `x = bʸ`, then `y = logₐ(x)`.

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