Log Base 10 of 1
The logarithm base 10 of 1 is 0, since any base raised to 0 equals 1.
How to use this tool
- Enter number and base in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your log result and the full breakdown beneath it.
log₁₀(1) = 0 because any nonzero number raised to the power of 0 equals 1.
Frequently asked questions
- How do you calculate a logarithm with any base?
- Use the change-of-base formula: log_b(x) = ln(x) / ln(b). For example, log_2(8) = ln(8)/ln(2) = 3.