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Inverse Log Key on Calculator

Inverse Log Formula:

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

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1. What is Inverse Log?

The inverse logarithm (antilog) is the mathematical operation that reverses the logarithm function. For base-10 logarithms, the antilog of a number x is calculated as 10 raised to the power of x.

2. How Does the Calculator Work?

The calculator uses the inverse log formula:

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

Where:

Explanation: The antilog function returns the value whose logarithm would be the given number x.

3. Importance of Inverse Log Calculation

Details: Inverse log calculations are essential in various scientific and engineering fields, including chemistry (pH calculations), acoustics (decibel measurements), and statistics (logarithmic transformations).

4. Using the Calculator

Tips: Enter any real number in the input field. The calculator will compute 10 raised to the power of your input value.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between log and antilog?
A: Logarithm finds the exponent, while antilog finds the value from the exponent. They are inverse operations of each other.

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

Q3: How is antilog related to exponential functions?
A: The antilog function is essentially the exponential function with base 10. antilog(x) = 10^x.

Q4: What are practical applications of antilog?
A: Used in pH calculations (pH = -log[H⁺]), sound intensity measurements, and converting logarithmic scales back to linear scales.

Q5: How do I find antilog on a calculator?
A: Most scientific calculators have a "10^x" button or use the "SHIFT" + "log" keys to calculate antilog.

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