What operations does this calculator support?

Logarithms (any base), natural log, and exponentiation.

What is the relationship between logs and exponents?

They're inverse operations — if b^x = y, then log base b of y equals x.

What's the difference between log and ln?

"log" typically means base-10; "ln" means natural log, base e.

Log & Exponent Calculator - CalculatorLabs.net

Log & Exponent Calculator

Calculate logarithms and exponents for any base in one simple tool.

Mode

Base

Value

Result-

What Is a Log & Exponent Calculator?

Logarithms and exponents are inverse operations. An exponent asks "what do you get when you multiply the base by itself repeatedly?" A logarithm asks the reverse: "what power do I need to raise the base to, to get this value?" This tool handles both directions for any base.

Exponential curves grow the base by repeated multiplication; logs reverse that.

Formulas

Exponent: Result = Base^Exponent
Logarithm: Result = log(Value) ÷ log(Base)

How to Use This Calculator

Choose "Logarithm" or "Exponent" mode.
Enter the base (e.g. 10 for common log, or any number for exponents).
Enter the value (for logarithm) or the exponent (for exponent mode).
Click "Calculate" to see the result.

Worked Example

Example: log base 2 of 1024: since 2¹⁰ = 1024, the answer is 10. Exponent example: 2¹⁰ = 1024.