Logarithm Calculator
Calculate logarithms with custom base
About this calculator
A logarithm calculator helps you find the power to which a base number must be raised to produce a given value. This mathematical tool is essential for solving exponential equations, analyzing growth rates, and working with scientific calculations. Whether you're dealing with natural logarithms (base e), common logarithms (base 10), or any custom base, this calculator provides accurate results for students, engineers, scientists, and anyone working with logarithmic functions in mathematics, physics, chemistry, or finance.
How to use
Enter the number you want to find the logarithm of in the input field. Select or enter your desired base (common bases include 10, e, or 2). Click calculate to get the logarithmic value. The result shows the power that the base must be raised to equal your input number.
Frequently asked questions
What is the difference between natural and common logarithms?
Natural logarithms use base e (≈2.718), while common logarithms use base 10. Natural logs are denoted as ln(x), common logs as log(x).
Can I calculate logarithms with any base?
Yes, this calculator supports any positive base except 1. Common bases include 2, 10, and e, but you can use any custom base.
What happens if I enter a negative number?
Logarithms of negative numbers are undefined in real mathematics. The calculator will show an error for negative inputs.