Таблица натуральных логарифмов может использоваться при расчетах, когда необходимо знать соответствующие значения логарифмов, но их нельзя вычислить точно.
Напомним: Натуральный логарифм — это частный случай логарифма, основанием которого является e. Можно записать так: ln(x) = loge(x).
Константа e ≈ 2,72
ln1 = 0
То же самое равенство можно записать как loge1 = 0. Любое неотрицательное число (в том числе e), в степени 0 будет равняться 1.
ln e = 1
То же самое равенство можно записать как logee = 1. e в степени 1 — это e.
Таблица натуральных логарифмов
Ниже представлена таблица с натуральными логарифмами в диапазоне от ln1 до ln400.
| ln1 = 0.00000 | ln101 = 4.61512 | ln201 = 5.30330 | ln301 = 5.70711 |
| ln2 = 0.69315 | ln102 = 4.62497 | ln202 = 5.30827 | ln302 = 5.71043 |
| ln3 = 1.09861 | ln103 = 4.63473 | ln203 = 5.31321 | ln303 = 5.71373 |
| ln4 = 1.38629 | ln104 = 4.64439 | ln204 = 5.31812 | ln304 = 5.71703 |
| ln5 = 1.60944 | ln105 = 4.65396 | ln205 = 5.32301 | ln305 = 5.72031 |
| ln6 = 1.79176 | ln106 = 4.66344 | ln206 = 5.32788 | ln306 = 5.72359 |
| ln7 = 1.94591 | ln107 = 4.67283 | ln207 = 5.33272 | ln307 = 5.72685 |
| ln8 = 2.07944 | ln108 = 4.68213 | ln208 = 5.33754 | ln308 = 5.73010 |
| ln9 = 2.19722 | ln109 = 4.69135 | ln209 = 5.34233 | ln309 = 5.73334 |
| ln10 = 2.30259 | ln110 = 4.70048 | ln210 = 5.34711 | ln310 = 5.73657 |
| ln11 = 2.39790 | ln111 = 4.70953 | ln211 = 5.35186 | ln311 = 5.73979 |
| ln12 = 2.48491 | ln112 = 4.71850 | ln212 = 5.35659 | ln312 = 5.74300 |
| ln13 = 2.56495 | ln113 = 4.72739 | ln213 = 5.36129 | ln313 = 5.74620 |
| ln14 = 2.63906 | ln114 = 4.73620 | ln214 = 5.36598 | ln314 = 5.74939 |
| ln15 = 2.70805 | ln115 = 4.74493 | ln215 = 5.37064 | ln315 = 5.75257 |
| ln16 = 2.77259 | ln116 = 4.75359 | ln216 = 5.37528 | ln316 = 5.75574 |
| ln17 = 2.83321 | ln117 = 4.76217 | ln217 = 5.37990 | ln317 = 5.75890 |
| ln18 = 2.89037 | ln118 = 4.77068 | ln218 = 5.38450 | ln318 = 5.76205 |
| ln19 = 2.94444 | ln119 = 4.77912 | ln219 = 5.38907 | ln319 = 5.76519 |
| ln20 = 2.99573 | ln120 = 4.78749 | ln220 = 5.39363 | ln320 = 5.76832 |
| ln21 = 3.04452 | ln121 = 4.79579 | ln221 = 5.39816 | ln321 = 5.77144 |
| ln22 = 3.09104 | ln122 = 4.80402 | ln222 = 5.40268 | ln322 = 5.77455 |
| ln23 = 3.13549 | ln123 = 4.81218 | ln223 = 5.40717 | ln323 = 5.77765 |
| ln24 = 3.17805 | ln124 = 4.82028 | ln224 = 5.41165 | ln324 = 5.78074 |
| ln25 = 3.21888 | ln125 = 4.82831 | ln225 = 5.41610 | ln325 = 5.78383 |
| ln26 = 3.25810 | ln126 = 4.83628 | ln226 = 5.42053 | ln326 = 5.78690 |
| ln27 = 3.29584 | ln127 = 4.84419 | ln227 = 5.42495 | ln327 = 5.78996 |
| ln28 = 3.33220 | ln128 = 4.85203 | ln228 = 5.42935 | ln328 = 5.79301 |
| ln29 = 3.36730 | ln129 = 4.85981 | ln229 = 5.43372 | ln329 = 5.79606 |
| ln30 = 3.40120 | ln130 = 4.86753 | ln230 = 5.43808 | ln330 = 5.79909 |
| ln31 = 3.43399 | ln131 = 4.87520 | ln231 = 5.44242 | ln331 = 5.80212 |
| ln32 = 3.46574 | ln132 = 4.88280 | ln232 = 5.44674 | ln332 = 5.80513 |
| ln33 = 3.49651 | ln133 = 4.89035 | ln233 = 5.45104 | ln333 = 5.80814 |
| ln34 = 3.52636 | ln134 = 4.89784 | ln234 = 5.45532 | ln334 = 5.81114 |
| ln35 = 3.55535 | ln135 = 4.90527 | ln235 = 5.45959 | ln335 = 5.81413 |
| ln36 = 3.58352 | ln136 = 4.91265 | ln236 = 5.46383 | ln336 = 5.81711 |
| ln37 = 3.61092 | ln137 = 4.91998 | ln237 = 5.46806 | ln337 = 5.82008 |
| ln38 = 3.63759 | ln138 = 4.92725 | ln238 = 5.47227 | ln338 = 5.82305 |
| ln39 = 3.66356 | ln139 = 4.93447 | ln239 = 5.47646 | ln339 = 5.82600 |
| ln40 = 3.68888 | ln140 = 4.94164 | ln240 = 5.48064 | ln340 = 5.82895 |
| ln41 = 3.71357 | ln141 = 4.94876 | ln241 = 5.48480 | ln341 = 5.83188 |
| ln42 = 3.73767 | ln142 = 4.95583 | ln242 = 5.48894 | ln342 = 5.83481 |
| ln43 = 3.76120 | ln143 = 4.96284 | ln243 = 5.49306 | ln343 = 5.83773 |
| ln44 = 3.78419 | ln144 = 4.96981 | ln244 = 5.49717 | ln344 = 5.84064 |
| ln45 = 3.80666 | ln145 = 4.97673 | ln245 = 5.50126 | ln345 = 5.84354 |
| ln46 = 3.82864 | ln146 = 4.98361 | ln246 = 5.50533 | ln346 = 5.84644 |
| ln47 = 3.85015 | ln147 = 4.99043 | ln247 = 5.50939 | ln347 = 5.84932 |
| ln48 = 3.87120 | ln148 = 4.99721 | ln248 = 5.51343 | ln348 = 5.85220 |
| ln49 = 3.89182 | ln149 = 5.00395 | ln249 = 5.51745 | ln349 = 5.85507 |
| ln50 = 3.91202 | ln150 = 5.01064 | ln250 = 5.52146 | ln350 = 5.85793 |
| ln51 = 3.93183 | ln151 = 5.01728 | ln251 = 5.52545 | ln351 = 5.86079 |
| ln52 = 3.95124 | ln152 = 5.02388 | ln252 = 5.52943 | ln352 = 5.86363 |
| ln53 = 3.97029 | ln153 = 5.03044 | ln253 = 5.53339 | ln353 = 5.86647 |
| ln54 = 3.98898 | ln154 = 5.03695 | ln254 = 5.53733 | ln354 = 5.86930 |
| ln55 = 4.00733 | ln155 = 5.04343 | ln255 = 5.54126 | ln355 = 5.87212 |
| ln56 = 4.02535 | ln156 = 5.04986 | ln256 = 5.54518 | ln356 = 5.87493 |
| ln57 = 4.04305 | ln157 = 5.05625 | ln257 = 5.54908 | ln357 = 5.87774 |
| ln58 = 4.06044 | ln158 = 5.06260 | ln258 = 5.55296 | ln358 = 5.88053 |
| ln59 = 4.07754 | ln159 = 5.06890 | ln259 = 5.55683 | ln359 = 5.88332 |
| ln60 = 4.09434 | ln160 = 5.07517 | ln260 = 5.56068 | ln360 = 5.88610 |
| ln61 = 4.11087 | ln161 = 5.08140 | ln261 = 5.56452 | ln361 = 5.88888 |
| ln62 = 4.12713 | ln162 = 5.08760 | ln262 = 5.56834 | ln362 = 5.89164 |
| ln63 = 4.14313 | ln163 = 5.09375 | ln263 = 5.57215 | ln363 = 5.89440 |
| ln64 = 4.15888 | ln164 = 5.09987 | ln264 = 5.57595 | ln364 = 5.89715 |
| ln65 = 4.17439 | ln165 = 5.10595 | ln265 = 5.57973 | ln365 = 5.89990 |
| ln66 = 4.18965 | ln166 = 5.11199 | ln266 = 5.58350 | ln366 = 5.90263 |
| ln67 = 4.20469 | ln167 = 5.11799 | ln267 = 5.58725 | ln367 = 5.90536 |
| ln68 = 4.21951 | ln168 = 5.12396 | ln268 = 5.59099 | ln368 = 5.90808 |
| ln69 = 4.23411 | ln169 = 5.12990 | ln269 = 5.59471 | ln369 = 5.91080 |
| ln70 = 4.24850 | ln170 = 5.13580 | ln270 = 5.59842 | ln370 = 5.91350 |
| ln71 = 4.26268 | ln171 = 5.14166 | ln271 = 5.60212 | ln371 = 5.91620 |
| ln72 = 4.27667 | ln172 = 5.14749 | ln272 = 5.60580 | ln372 = 5.91889 |
| ln73 = 4.29046 | ln173 = 5.15329 | ln273 = 5.60947 | ln373 = 5.92158 |
| ln74 = 4.30407 | ln174 = 5.15906 | ln274 = 5.61313 | ln374 = 5.92426 |
| ln75 = 4.31749 | ln175 = 5.16479 | ln275 = 5.61677 | ln375 = 5.92693 |
| ln76 = 4.33073 | ln176 = 5.17048 | ln276 = 5.62040 | ln376 = 5.92959 |
| ln77 = 4.34381 | ln177 = 5.17615 | ln277 = 5.62402 | ln377 = 5.93225 |
| ln78 = 4.35671 | ln178 = 5.18178 | ln278 = 5.62762 | ln378 = 5.93489 |
| ln79 = 4.36945 | ln179 = 5.18739 | ln279 = 5.63121 | ln379 = 5.93754 |
| ln80 = 4.38203 | ln180 = 5.19296 | ln280 = 5.63479 | ln380 = 5.94017 |
| ln81 = 4.39445 | ln181 = 5.19850 | ln281 = 5.63835 | ln381 = 5.94280 |
| ln82 = 4.40672 | ln182 = 5.20401 | ln282 = 5.64191 | ln382 = 5.94542 |
| ln83 = 4.41884 | ln183 = 5.20949 | ln283 = 5.64545 | ln383 = 5.94803 |
| ln84 = 4.43082 | ln184 = 5.21494 | ln284 = 5.64897 | ln384 = 5.95064 |
| ln85 = 4.44265 | ln185 = 5.22036 | ln285 = 5.65249 | ln385 = 5.95324 |
| ln86 = 4.45435 | ln186 = 5.22575 | ln286 = 5.65599 | ln386 = 5.95584 |
| ln87 = 4.46591 | ln187 = 5.23111 | ln287 = 5.65948 | ln387 = 5.95842 |
| ln88 = 4.47734 | ln188 = 5.23644 | ln288 = 5.66296 | ln388 = 5.96101 |
| ln89 = 4.48864 | ln189 = 5.24175 | ln289 = 5.66643 | ln389 = 5.96358 |
| ln90 = 4.49981 | ln190 = 5.24702 | ln290 = 5.66988 | ln390 = 5.96615 |
| ln91 = 4.51086 | ln191 = 5.25227 | ln291 = 5.67332 | ln391 = 5.96871 |
| ln92 = 4.52179 | ln192 = 5.25750 | ln292 = 5.67675 | ln392 = 5.97126 |
| ln93 = 4.53260 | ln193 = 5.26269 | ln293 = 5.68017 | ln393 = 5.97381 |
| ln94 = 4.54329 | ln194 = 5.26786 | ln294 = 5.68358 | ln394 = 5.97635 |
| ln95 = 4.55388 | ln195 = 5.27300 | ln295 = 5.68698 | ln395 = 5.97889 |
| ln96 = 4.56435 | ln196 = 5.27811 | ln296 = 5.69036 | ln396 = 5.98141 |
| ln97 = 4.57471 | ln197 = 5.28320 | ln297 = 5.69373 | ln397 = 5.98394 |
| ln98 = 4.58497 | ln198 = 5.28827 | ln298 = 5.69709 | ln398 = 5.98645 |
| ln99 = 4.59512 | ln199 = 5.29330 | ln299 = 5.70044 | ln399 = 5.98896 |
| ln100 = 4.60517 | ln200 = 5.29832 | ln300 = 5.70378 | ln400 = 5.99146 |
Смотрите также:
Калькулятор натурального логарифма