Free online antilog calculator to find the antilogarithm of any number. Calculate inverse log functions for base 10, base e, and custom bases. Essential tool for scientific, engineering, and mathematical calculations.
The logarithm value you want to find the antilogarithm for
Base of the logarithm (must be > 0 and ≠ 1)
Antilogarithm is the inverse operation of logarithm. If logₐ(b) = c, then antilogₐ(c) = b. It finds the original number before taking the logarithm.
An antilogarithm (antilog) is the inverse operation of a logarithm. If log_b(x) = y, then antilog_b(y) = x. In other words, the antilog tells you what number you started with when you know its logarithm.
Where b is the base and y is the logarithm value
Used in everyday calculations, pH calculations, and engineering applications. If log₁₀(x) = y, then 10^y = x.
Essential for calculus, natural processes, and exponential growth/decay. If ln(x) = y, then e^y = x.
Used in computer science, information theory, and specialized applications where different bases are required.
If pH = 3.5, find the hydrogen ion concentration [H+]:
[H+] = antilog₁₀(-3.5) = 10^(-3.5) ≈ 3.16 × 10^(-4) mol/L
If ln(x) = 2.3026, find x:
x = antilog_e(2.3026) = e^(2.3026) ≈ 10
If sound level = 80 dB, find intensity ratio:
Ratio = antilog₁₀(80/10) = 10^8 = 100,000,000
An antilog is specifically the inverse of a logarithm operation, while exponential is a general term for b^x. Antilog always refers to finding the original number from its logarithm, but exponential can refer to any power function.
Use antilog when you're working with logarithmic data and need to convert back to the original scale. This is common in scientific measurements like pH, decibels, and Richter scale values.
Our calculator provides high precision results using JavaScript's built-in mathematical functions. It's suitable for most scientific, engineering, and educational applications with precision up to 15 decimal places.
Yes, the calculator supports negative logarithm values. The antilog of a negative number will be between 0 and 1 for base 10, and between 0 and 1 for base e as well.
Common values include: antilog₁₀(0) = 1, antilog₁₀(1) = 10, antilog₁₀(2) = 100, antilog_e(0) = 1, antilog_e(1) = e ≈ 2.718, antilog_e(ln 10) = 10.
Antilog is fundamental to exponential growth calculations. Many natural processes like population growth, radioactive decay, and compound interest use exponential functions that are calculated using antilogarithms.
Identity Property:
antilog_b(0) = 1
Product Property:
antilog_b(x + y) = antilog_b(x) × antilog_b(y)
Power Property:
antilog_b(n × x) = (antilog_b(x))^n
Base Change Property:
antilog_b(x) = b^x
Explore our other free math calculators for comprehensive mathematical solutions:
Calculate logarithms of any base
Calculate exponential functions
Advanced mathematical operations
Calculate ln values quickly
Calculate base 10 logarithms
Calculate any number to any power