21 | 22 | 23 | 24 | 25 | 26 |
2 | 4 | 8 | 16 | 32 | 64 |
21 | 22 | 23 | 24 | 25 | 26 |
2 | 4 | 8 | 16 | 32 | 64 |
log22 = 1 | log24 = 2 | log28 = 3 | log216 = 4 | log232 = 5 | log264 = 6 |
Log Base | Log Name | Notation | Log Example |
---|---|---|---|
2 | binary logarithm | lb(x) | log2(16) = lb(16) = 4 => 24 = 16 |
10 | common logarithm | lg(x) | log10(1000) = lg(1000) = 3 => 103 = 1000 |
e | natural logarithm | ln(x) | loge(8) = ln(8) = 2.0794 => e2.0794 = 8 |
log2(x) | Notation | Value |
---|---|---|
log2(1) | lb(1) | 0 |
log2(2) | lb(2) | 1 |
log2(3) | lb(3) | 1.584963 |
log2(4) | lb(4) | 2 |
log2(5) | lb(5) | 2.321928 |
log2(6) | lb(6) | 2.584963 |
log2(7) | lb(7) | 2.807355 |
log2(8) | lb(8) | 3 |
log2(9) | lb(9) | 3.169925 |
log2(10) | lb(10) | 3.321928 |
log2(11) | lb(11) | 3.459432 |
log2(12) | lb(12) | 3.584963 |
log2(13) | lb(13) | 3.70044 |
log2(14) | lb(14) | 3.807355 |
log2(15) | lb(15) | 3.906891 |
log2(16) | lb(16) | 4 |
log2(17) | lb(17) | 4.087463 |
log2(18) | lb(18) | 4.169925 |
log2(19) | lb(19) | 4.247928 |
log2(20) | lb(20) | 4.321928 |
log2(21) | lb(21) | 4.392317 |
log2(22) | lb(22) | 4.459432 |
log2(23) | lb(23) | 4.523562 |
log2(24) | lb(24) | 4.584963 |
log10(x) | Notation | Value |
---|---|---|
log10(1) | log(1) | 0 |
log10(2) | log(2) | 0.30103 |
log10(3) | log(3) | 0.477121 |
log10(4) | log(4) | 0.60206 |
log10(5) | log(5) | 0.69897 |
log10(6) | log(6) | 0.778151 |
log10(7) | log(7) | 0.845098 |
log10(8) | log(8) | 0.90309 |
log10(9) | log(9) | 0.954243 |
log10(10) | log(10) | 1 |
log10(11) | log(11) | 1.041393 |
log10(12) | log(12) | 1.079181 |
log10(13) | log(13) | 1.113943 |
log10(14) | log(14) | 1.146128 |
log10(15) | log(15) | 1.176091 |
log10(16) | log(16) | 1.20412 |
log10(17) | log(17) | 1.230449 |
log10(18) | log(18) | 1.255273 |
log10(19) | log(19) | 1.278754 |
log10(20) | log(20) | 1.30103 |
log10(21) | log(21) | 1.322219 |
log10(22) | log(22) | 1.342423 |
log10(23) | log(23) | 1.361728 |
log10(24) | log(24) | 1.380211 |
loge(x) | Notation | Value |
---|---|---|
loge(1) | ln(1) | 0 |
loge(2) | ln(2) | 0.693147 |
loge(3) | ln(3) | 1.098612 |
loge(4) | ln(4) | 1.386294 |
loge(5) | ln(5) | 1.609438 |
loge(6) | ln(6) | 1.791759 |
loge(7) | ln(7) | 1.94591 |
loge(8) | ln(8) | 2.079442 |
loge(9) | ln(9) | 2.197225 |
loge(10) | ln(10) | 2.302585 |
loge(11) | ln(11) | 2.397895 |
loge(12) | ln(12) | 2.484907 |
loge(13) | ln(13) | 2.564949 |
loge(14) | ln(14) | 2.639057 |
loge(15) | ln(15) | 2.70805 |
loge(16) | ln(16) | 2.772589 |
loge(17) | ln(17) | 2.833213 |
loge(18) | ln(18) | 2.890372 |
loge(19) | ln(19) | 2.944439 |
loge(20) | ln(20) | 2.995732 |
loge(21) | ln(21) | 3.044522 |
loge(22) | ln(22) | 3.091042 |
loge(23) | ln(23) | 3.135494 |
loge(24) | ln(24) | 3.178054 |