Таблица натуральных логарифмов

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) = log_e(x).
Константа e ≈ 2,72

ln1 = 0
То же самое равенство можно записать как log_e1 = 0. Любое неотрицательное число (в том числе e), в степени 0 будет равняться 1.

ln e = 1
То же самое равенство можно записать как log_ee = 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