Inverse Log Formula:
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The inverse log (or antilog) function calculates the value of 10 raised to the power of x. It is the reverse operation of taking the base-10 logarithm of a number.
The calculator uses the inverse log formula:
Where:
Explanation: The inverse log function returns the number whose logarithm is the given value x.
Details: Inverse log calculations are essential in various scientific and engineering fields, particularly when working with logarithmic scales, pH calculations, decibel measurements, and exponential growth/decay problems.
Tips: Enter the x value (the exponent) in the input field. The calculator will compute 10 raised to that power. The result is unitless.
Q1: What is the difference between log and inverse log?
A: Log finds the exponent, while inverse log finds the actual number from the exponent.
Q2: Can I calculate inverse log for other bases?
A: This calculator uses base 10. For other bases, you would need to use the formula \( b^x \) where b is your desired base.
Q3: How is inverse log used in real-world applications?
A: Used in pH calculations (pH = -log[H⁺]), sound intensity (decibels), and Richter scale for earthquake magnitude.
Q4: What is the inverse log of 0?
A: The inverse log of 0 is 1, since \( 10^0 = 1 \).
Q5: How do I find the inverse log key on my calculator?
A: It's usually labeled as "10^x" or may be a second function of the "log" button, often accessed by pressing "2nd" or "Shift" then "log".