Calculate logarithms with any base, natural log (ln), and common log (log). View log graphs and reference tables.
| n | log₁₀(n) | ln(n) | log₂(n) |
|---|---|---|---|
| 1 | 0.0000 | 0.0000 | 0.0000 |
| 2 | 0.3010 | 0.6931 | 1.0000 |
| 3 | 0.4771 | 1.0986 | 1.5850 |
| 4 | 0.6021 | 1.3863 | 2.0000 |
| 5 | 0.6990 | 1.6094 | 2.3219 |
| 6 | 0.7782 | 1.7918 | 2.5850 |
| 7 | 0.8451 | 1.9459 | 2.8074 |
| 8 | 0.9031 | 2.0794 | 3.0000 |
| 9 | 0.9542 | 2.1972 | 3.1699 |
| 10 | 1.0000 | 2.3026 | 3.3219 |
| 11 | 1.0414 | 2.3979 | 3.4594 |
| 12 | 1.0792 | 2.4849 | 3.5850 |
| 13 | 1.1139 | 2.5649 | 3.7004 |
| 14 | 1.1461 | 2.6391 | 3.8074 |
| 15 | 1.1761 | 2.7081 | 3.9069 |
| 16 | 1.2041 | 2.7726 | 4.0000 |
| 17 | 1.2304 | 2.8332 | 4.0875 |
| 18 | 1.2553 | 2.8904 | 4.1699 |
| 19 | 1.2788 | 2.9444 | 4.2479 |
| 20 | 1.3010 | 2.9957 | 4.3219 |
A logarithm is the inverse of exponentiation. log_b(x) = y means b^y = x. For example, log_2(8) = 3 because 2³ = 8.
Common log (log) has base 10, natural log (ln) has base e (≈2.718). Common log is used in engineering, natural log in math and science.
log_a(x) = log_b(x) / log_b(a). This lets you convert between any two bases.
The Logarithm Calculator computes common log (log), natural log (ln), and logarithms with any base. It also supports inverse operations (exponentiation) and provides graph visualization and reference tables for learning and engineering.