Logarithm

Calculate logarithms.

Formula & Methodology

log_b(x) = y means b^y = x; the common log uses base 10 and the natural log uses base e.

Worked Example

log10(1000) = 3; ln(e²) = 2.

Frequently Asked Questions

What is the difference between log and ln?

log usually means base 10 (common log), while ln is the natural log with base e ≈ 2.718.

Can I use any base?

Yes. Use the change-of-base formula: log_b(x) = ln(x) / ln(b).

What about log of zero or negatives?

Logarithms of zero or negative numbers are undefined in the real numbers.

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