1. What is Base 10 Logarithm?

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

2. How Does the Calculator Work?

The calculator uses the mathematical function:

Where:

• \( x \) — Input value (must be positive)

Explanation: The function calculates the power to which the number 10 must be raised to obtain the value x.

3. Importance of Logarithm Calculation

Details: Base 10 logarithms are essential in many scientific fields, including chemistry (pH scale), acoustics (decibel scale), and information theory (measurement of information).

4. Using the Calculator

Tips: Enter any positive number to calculate its base 10 logarithm. The input must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the log10 of 1?
A: log₁₀(1) = 0, because 10⁰ = 1.

Q2: What is the log10 of 10?
A: log₁₀(10) = 1, because 10¹ = 10.

Q3: Can you calculate log10 of 0?
A: No, log₁₀(0) is undefined as there's no power that 10 can be raised to get 0.

Q4: What about negative numbers?
A: The log₁₀ of negative numbers is not a real number (it's complex).

Q5: What's the difference between ln and log10?
A: ln (natural log) uses base e (≈2.718), while log₁₀ uses base 10.