Binary Logarithm (Base 2) Table: 1 to 100
log₂(8) = 3 because 2³ = 8.
Values are rounded to six decimal places. Real logarithms require a positive input; log(0) is undefined.
| n | Logarithm |
|---|---|
| 1 | 0.000000 |
| 2 | 1.000000 |
| 3 | 1.584963 |
| 4 | 2.000000 |
| 5 | 2.321928 |
| 6 | 2.584963 |
| 7 | 2.807355 |
| 8 | 3.000000 |
| 9 | 3.169925 |
| 10 | 3.321928 |
| 11 | 3.459432 |
| 12 | 3.584963 |
| 13 | 3.700440 |
| 14 | 3.807355 |
| 15 | 3.906891 |
| 16 | 4.000000 |
| 17 | 4.087463 |
| 18 | 4.169925 |
| 19 | 4.247928 |
| 20 | 4.321928 |
| 21 | 4.392317 |
| 22 | 4.459432 |
| 23 | 4.523562 |
| 24 | 4.584963 |
| 25 | 4.643856 |
| 26 | 4.700440 |
| 27 | 4.754888 |
| 28 | 4.807355 |
| 29 | 4.857981 |
| 30 | 4.906891 |
| 31 | 4.954196 |
| 32 | 5.000000 |
| 33 | 5.044394 |
| 34 | 5.087463 |
| 35 | 5.129283 |
| 36 | 5.169925 |
| 37 | 5.209453 |
| 38 | 5.247928 |
| 39 | 5.285402 |
| 40 | 5.321928 |
| 41 | 5.357552 |
| 42 | 5.392317 |
| 43 | 5.426265 |
| 44 | 5.459432 |
| 45 | 5.491853 |
| 46 | 5.523562 |
| 47 | 5.554589 |
| 48 | 5.584963 |
| 49 | 5.614710 |
| 50 | 5.643856 |
| 51 | 5.672425 |
| 52 | 5.700440 |
| 53 | 5.727920 |
| 54 | 5.754888 |
| 55 | 5.781360 |
| 56 | 5.807355 |
| 57 | 5.832890 |
| 58 | 5.857981 |
| 59 | 5.882643 |
| 60 | 5.906891 |
| 61 | 5.930737 |
| 62 | 5.954196 |
| 63 | 5.977280 |
| 64 | 6.000000 |
| 65 | 6.022368 |
| 66 | 6.044394 |
| 67 | 6.066089 |
| 68 | 6.087463 |
| 69 | 6.108524 |
| 70 | 6.129283 |
| 71 | 6.149747 |
| 72 | 6.169925 |
| 73 | 6.189825 |
| 74 | 6.209453 |
| 75 | 6.228819 |
| 76 | 6.247928 |
| 77 | 6.266787 |
| 78 | 6.285402 |
| 79 | 6.303781 |
| 80 | 6.321928 |
| 81 | 6.339850 |
| 82 | 6.357552 |
| 83 | 6.375039 |
| 84 | 6.392317 |
| 85 | 6.409391 |
| 86 | 6.426265 |
| 87 | 6.442943 |
| 88 | 6.459432 |
| 89 | 6.475733 |
| 90 | 6.491853 |
| 91 | 6.507795 |
| 92 | 6.523562 |
| 93 | 6.539159 |
| 94 | 6.554589 |
| 95 | 6.569856 |
| 96 | 6.584963 |
| 97 | 6.599913 |
| 98 | 6.614710 |
| 99 | 6.629357 |
| 100 | 6.643856 |