Log Calculator
Calculate common logs, natural logs and logarithms with any valid base using the change-of-base formula and clear steps.
Log calculator for log, ln, powers, fractions, and common mistakes
Use this log calculator for common logarithms, natural logarithms, and expressions where logs appear inside fractions or powers.
The calculator recognizes log as base 10 and ln as the natural logarithm with base e.
Learn the concept
Try these examples
\log(100)\log(1000)\log(0.01)
Quick reference
log_b(x) = ln(x) / ln(b).log_b(xy) = log_b(x) + log_b(y).log_b(x^r) = r log_b(x).
FAQ
What is log in this calculator?
log is interpreted as the common logarithm, base 10.
What is ln?
ln is the natural logarithm, base e.
Sources and review
- OpenStax College Algebra 2e, Logarithmic Functions
- OpenStax College Algebra 2e, Logarithmic Properties
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