log₁₀(3) = 0.47712125, ln(3) = 1.09861229 and log₂(3) = 1.5849625.
log₁₀(3) = 0.47712125, ln(3) = 1.09861229 and log₂(3) = 1.5849625.
On most calculators, log means base 10 and ln means the natural logarithm (base e ≈ 2.71828).
log₁₀(3) is the power you raise 10 to in order to get 3: 100.477121 ≈ 3. Likewise e1.098612 ≈ 3.
For another base, use the change-of-base rule: logb(x) = log(x) ÷ log(b).
| log 3 | = 0.477121 |
| ln 3 | = 1.098612 |
| log₂ 3 | = 1.584963 |
| Number | log₁₀ | ln |
|---|---|---|
| 2 | 0.30103 | 0.693147 |
| 3 | 0.477121 | 1.098612 |
| 5 | 0.69897 | 1.609438 |
| 10 | 1 | 2.302585 |
| 20 | 1.30103 | 2.995732 |
| 50 | 1.69897 | 3.912023 |
| 100 | 2 | 4.60517 |
| 200 | 2.30103 | 5.298317 |
| 500 | 2.69897 | 6.214608 |
| 1,000 | 3 | 6.907755 |
| 10,000 | 4 | 9.21034 |
log₁₀(3) = 0.47712125, ln(3) = 1.09861229 and log₂(3) = 1.5849625.
log normally means base 10, while ln is the natural logarithm with base e (about 2.71828).
Use log(x) ÷ log(base). For example log₂(3) = log(3) ÷ log(2) = 1.584963.
Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.