Antilog Calculator
Antilog, or antilogarithm, is the reverse process of a logarithm. It helps you find the original number when you know its logarithmic value. In simple terms, if the logarithm of a number is \( x \), the antilog of \( x \) will give the original number.
Formula for Antilog
The antilog formula is straightforward:
\[
y = 10^x
\]
- \( y \): The original number (antilog result).
- \( x \): The logarithm value.
For natural logarithms, where the base is \( e \), the formula becomes:
\[
y = e^x
\]
How to Calculate Antilog
- Identify the Logarithmic Value: Note the value for which you need to find the antilog.
- Apply the Formula: Use \( 10^x \) (or \( e^x \) for natural logs).
- Use a Calculator: Many scientific calculators have a dedicated antilog button.
Example of Antilog Calculation
Let’s calculate the antilog of 2:
\[
y = 10^2 = 100
\]
For a natural log example:
\[
y = e^{1.5} \approx 4.48
\]
Why Use Antilog?
Antilog has applications in:
- Scientific calculations.
- Decibels in acoustics.
- Earthquake magnitudes on the Richter scale.
- Financial growth calculations.