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Inverse Log Function Calculator

Inverse Log Formula:

\[ \text{antilog}(y) = 10^y \]

(unitless)

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1. What is the Inverse Log Function?

The inverse log function (antilog) reverses the logarithm operation. If y = log₁₀(x), then x = antilog(y) = 10ʸ. It converts logarithmic values back to their original linear scale.

2. How Does the Calculator Work?

The calculator uses the inverse log formula:

\[ \text{antilog}(y) = 10^y \]

Where:

Explanation: The function raises 10 to the power of the input value y, effectively "undoing" a base-10 logarithm operation.

3. Applications of Antilog

Details: Antilog is used in various scientific fields including chemistry (pH calculations), acoustics (decibel measurements), and statistics (log-transformed data analysis).

4. Using the Calculator

Tips: Enter any real number as the logarithmic value (y). The calculator will compute 10 raised to that power. Results are displayed with 6 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between log and antilog?
A: Log converts numbers to their logarithmic form, while antilog converts them back to the original linear scale.

Q2: Can I calculate antilog for negative values?
A: Yes, antilog of negative values gives positive results between 0 and 1 (e.g., antilog(-2) = 0.01).

Q3: How is antilog related to exponential functions?
A: Antilog is essentially an exponential function with base 10 (10ˣ).

Q4: What about natural logarithms (ln)?
A: The inverse of natural log is eˣ (exponential function), not 10ˣ. This calculator is for base-10 logs only.

Q5: Why are the results unitless?
A: Since the input is a logarithmic ratio (unitless), the output is also unitless.

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