Log Calculator
Calculate logarithms with any base, plus ln and log10.
logb(x):
–
ln(x):
–
log10(x):
–
Enter x and base b to calculate.
Log Calculator
What this calculator helps you do
Use the log calculator to work with logarithms, exponents, and change-of-base checks more quickly. It is useful for algebra, finance formulas, science classes, and any calculation where exponential growth or decay appears.
What a logarithm means
A logarithm answers the question: to what power must a base be raised to get a given number? For example, log base 10 of 1000 equals 3 because 10^3 = 1000.
Worked example
If you need log base 2 of 32, the answer is 5 because 2^5 = 32. If your calculator only gives natural log or log base 10, the change-of-base rule helps you convert.
When this tool is useful
- Checking homework
- Solving exponential equations
- Verifying growth and decay formulas
Bottom line
This page is designed to give a direct answer while still making the base-and-exponent relationship easier to understand.