log₁₀(10,000) = 4, ln(10,000) = 9.21034037 and log₂(10,000) = 13.28771238.
log₁₀(10,000) = 4, ln(10,000) = 9.21034037 and log₂(10,000) = 13.28771238.
On most calculators, log means base 10 and ln means the natural logarithm (base e ≈ 2.71828). Here the base-10 log is a whole number because 10,000 = 104.
log₁₀(10,000) is the power you raise 10 to in order to get 10,000: 104 ≈ 10,000. Likewise e9.21034 ≈ 10,000.
For another base, use the change-of-base rule: logb(x) = log(x) ÷ log(b).
| log 10,000 | = 4 |
| ln 10,000 | = 9.21034 |
| log₂ 10,000 | = 13.287712 |
| 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(10,000) = 4, ln(10,000) = 9.21034037 and log₂(10,000) = 13.28771238.
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(10,000) = log(10,000) ÷ log(2) = 13.287712.
Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.