Calculate Logarithm
Result
2.0000
Calculate Antilogarithm
Result
100.0000
Real-time bidirectional logarithm and antilogarithm calculator with precision results. Instantly convert between logarithmic and exponential forms.
Result
2.0000
Result
100.0000
Get instant results as you type without any delay
Calculate both logarithms and antilogarithms with ease
Calculate with base 10, natural log (e), or any custom base
Logarithms are the inverse operations of exponentiation. The logarithm of a number is the exponent to which the base must be raised to produce that number. This powerful mathematical concept simplifies complex calculations, especially in science, engineering, and finance.
Logarithms have numerous real-world applications:
A logarithm answers the question: "How many of one number do we multiply to get another number?" For example, how many 2s multiply to make 8? 2 × 2 × 2 = 8, so we need 3 multiplications, meaning the logarithm base 2 of 8 is 3.
"Log" typically refers to base 10 logarithm (log₁₀), while "ln" refers to natural logarithm with base e (approximately 2.71828). Our calculator supports both conventions and any custom base.
An antilogarithm is the inverse operation of the logarithm. If log₁₀(100) = 2, then antilog₁₀(2) = 100. It's equivalent to raising the base to the power of the logarithm value.
Logarithms with base 1 are undefined because 1 raised to any power is always 1. Negative bases lead to complex numbers, which are beyond the scope of basic logarithmic calculations.
Yes! Our logarithm calculator is 100% free to use with no registration required. There are no hidden fees or premium features.