1. What is Logarithm Base 10?

The logarithm base 10 (log10) of a number is the exponent to which 10 must be raised to produce that number. It's commonly used in scientific calculations, decibel scales, and pH calculations.

2. How Does the Calculator Work?

The calculator uses the mathematical function:

Where:

• \( x \) — Positive real number (x > 0)

Explanation: The function returns the power to which the base (10) must be raised to obtain the value x.

3. Applications of Logarithms

Details: Logarithm base 10 is used in many scientific fields including chemistry (pH scale), acoustics (decibel scale), and earthquake measurement (Richter scale).

4. Using the Calculator

Tips: Enter any positive number (x > 0) to calculate its logarithm base 10. The result shows how many times you need to multiply 10 by itself to get the input number.

5. Frequently Asked Questions (FAQ)

Q1: What is log10(1)?
A: log10(1) = 0, because 10^0 = 1.

Q2: What is log10(10)?
A: log10(10) = 1, because 10^1 = 10.

Q3: What is log10(100)?
A: log10(100) = 2, because 10^2 = 100.

Q4: Can log10 be calculated for negative numbers?
A: No, log10 is only defined for positive real numbers.

Q5: What's the difference between natural log and log10?
A: Natural log uses base e (≈2.718) while log10 uses base 10. They're related by a constant factor (ln(x) = log10(x) × ln(10)).