Mathematics
高中
已解決
この例題17なのですが、なぜ3√2の値が求まるのですか？
0.1003に近い値を表から探して、出た1.23って底を10とする対数の真数の部分(？)ですよね、、
値をそれぞれ求めよ。
17 常用対数表を用いて,2 の値を小数第2位まで求めてみよう。
1
2-32
×0.3010=0.1003
3
1og1o 2 = log1o2=
3
常用対数表から 0.1003 に近い値を探して,?:
20
常用対数表(一)
例1 log1o3.72 の値を求めてみよう。
上位2桁の3.7 を左の縦の欄から,末位の2を上欄からそれぞれ探してその交点を
見ると log1o3.72=0.5705 が得られる。
囲この表では,0.5705 の一の位の0は省略格して表記している。
数
O
1
2
3
4
5
6
フ
8
9
.0043
.0453
.0086
.0492
.0128
.0000
.0414
.0170
1.0
1.1
.0212
.0607
.0253
.0645
.0294
.0682
.1038
.1367
.1673
.0334
.0719
.1072
.1399
.1703
.0531
.0569
.0374
.0755
.1106
.1430
.1732
-0828| 0864|.0899 | .0934|0969 |1004
1.2
1.3
1.4
0792
.1139
.1461
.1206
.1523
.1818
.2095
.2355
.2601
.2833
.3054
.3263
.3464
.3636 | .3655
.3820 | .3838
.1239
.1271
.1584
.1173
.1303
.1335
.1644
.1492
.1553
.1614
1.5
1.6
1.7
1.8
1.9
.1761
.2041
.2304
.2553
.2788
.1790
.2068
.2330
.1847
.2122
.2380
.2625
.2856
.1875
.2148
.2405
.2648
.1903
.2175
.2430
.2672
1931
.2201
.2455
.2695
.2923
.1959
.2227
.2480
.2718
.2945
.1987
.2253
.2504
.2742
.2967
.2014
.2279
.2529
.2765
.2989
.2577
.2810
.2878
.2900
2.0
2.1
2.2
2.3
2.4
.3032
.3243
.3444
.3075
.3284
.3483
.3674
.3856
.3096
.3304
.3502
.3692
.3874
.3118
.3324
.3522
.3711
.3892
.3139
.3345
.3541
.3729
.3909
.3010
.3160
.3365
.3560
.3747
.3927 || .3945
.4099 | .4116
.4265
.4425
.3181
.3201
.3222
.3385
.3404
.3424
.3617
.3579
.3598
.3766 | 3784
.3802
.3962
.4014
.4183
.4346
.4502
.4654
.4786 | 4800
-4942
.5079
.5211
.5340
.5465
.5587
-5682.5694.5705 .5717
.5821
.5933
4048
4216
4065
.4232
2.5
2.6
2.7
.3997
.4166
.4330
4487
.4639
.3979
.4031
.4200
.4362| .4378
.4518
.4669
4082
4249
.4409
.4564
4133
4150
.4314
.4472
.4281
.4298
.4393
.4440
4456
4594| 4609
.4742| .4757
4533 | 4548
2.8
2.9
.4579
.4728
-4624
.4683
.4698
.4713
4843| 4857
.4829
.4969
.5092 | .5105 |.5119 .5132
.5237
.5366
.4814
4955
3.0
3.1
3.2
3.3
3.4
.4771
.4871
.4886
.5024
.5159
.5289
.5416
.4900
.5038
.5172
.4997
.4928
.5065
4983
-4914
.5051
.5011
.5185
.5315
.5224
.5353
.5250
.5378
.5263
.5391
.5145
.5276
.5403
.5198
.5302
.5428
.5328
.5478
.5599
.5490
.5611
.5729
.5843
.5955
.5453
.5575
.5502
.5623
5514
.5527
3.5
3.6
3.7
3.8
3.9
.5441
.5635
.5752
.5866
.5977
.5647
.5763
.5877
.5988
.5539
.5658
.5775
.5888
.5999
.5551
.5670
.5786
.5899
.6010
.5563
.5740
.5855
.5798
.5809
.5922
.5832
.5911
.5944
.5966
4.0
4.1
4.2
4.3
4.4
.6021
.6128
.6232
.6335
.6435
.6031
.6138
.6243
.6345
.6042
.6149
.6253
.6355
.6454
.6053
.6160
.6263
.6365
.6464
.6064
.6170
.6274
.6375
.6474
.6075
.6180
.6284
.6385
.6484
.6085
.6191
.6294
.6395
.6493
.6096
.6201
.6304
.6405
.6503
.6107
.6212
.6314
.6415
.6513
.6117
.6222
.6325
.6425
.6522
.6444
4.5
4.6
4.7
4.8
4.9
.6532
.6628
.6721
.6812
.6902| .6911 .6920
.6551
.6646
.6739
.6830
.6542
.6590 | .6599
.6684
.6693
.6776
.6785
.6866
.6875
.6955
.6561
.6571
.6665
.6580
.6609
.6702
.6794
.6884
.6972| .6981
.6618
.6637
.6730
.6821
.6656
.6749
.6839
.6928
.6675
.6712
.6803
.6767
.6848 || .6857
.6937
.6758
.6893
.6946
.6964
5.0
5.1
5.2
5.3
5.4
.6990
.6998 7007
.7016
.7101
.7185
.7267
.7348
.7024
.7110
.7193
.7275
.7356 | .7364
.7042
.7118 |.7126
.7202
.7033
.7050
.7135
.7218
.7300
.7380
.7059
.7143
.7226
.7308
.7067
.7076
.7084
.7168
.7251
.7332
.7093
.7177
.7259
.7340
.7152
.7235
.7316
.7396
.7160
.7243
.7324
.7210
.7284 | .7292
.7372
.7388
log1o元=0.4971, log1o2z=0.7982
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「223
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