数学
高校生
解決済み
この場合の計算って常用対数表をどのようにみるのですか？
423. 常用対数表を用いて, 次のxの値を求めよ。
*1) log10x=0.6998
(2) log10x=-0.4908
解説を見る
423.(1) logiox=0.6998 となるxの値は,
(2) -0.4908=-1+0.5092
x=5.01
=logio10-1+logio3.23=log.o(10-!×3.23)
x=10-×3.23=0.323
より,求めるxの値は,
252
数 表
例2
S
常用対数表(一)
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 logio3.72=0.5705 が得られる。
この表では, 0.5705 の一の位の0は省略して表記している。
例1 logio3.72 の値を求めてみよう。
フ
8
9
4
5
6
数
1
2
3
.0374
.0755
.0294
.0682
.1038
.1367
.1673
.0334
.0719
.1072
.1399
.1703
.0212
.0253
.0170
.0569
.0086
.0492
-0828| .0864
.1206
.1523
.0128
.0531
-0899| .0934
.1239
.1553
.0043
.0453
1.0
1.1
1.2
1.3
1.4
.0000
.0645
.0607
.0414
.0792
.1139
.1461
.1106
.1430
.1732
-0969 |.1004
.1303
.1335
.1271
.1584
.1173
.1614
.1644
.1492
.2014
.1931
.2201
.2455
.2695
.2923
.1959
.2227
.1987
.2253
.2504
.1903
.1875
.2148
.1818
.2095
.2355
.2601
.1847
1.5
1.6
1.7
1.8
1.9
.1761
.2041
.2304
.1790
.2068
.2330
.2279
.2529
.2175
.2430
.2672
.2900
.2122
.2380
.2625
.2856
.2405
.2648
.2878
.2480
.2718
.2945
.2742
.2967
.2765
.2989
.2577
.2553
.2788
.2810
.2833
.3181
.3385
.3201
.3404
.3160
.3139
1.3345
.3118
.3096
.3304
.3502
.3692
.3874
.3054
.3263
2.0
2.1
2.2
2.3
2.4
.3075
.3284
.3483
.3674
.3856
.3032
.3010
.3222
.3424
.3617
.3365
.3324
.3522
.3243
.3444
.3636
.3820
.3598
.3560
.3747
.3927
.3579
.3766
.3945
.3541
.3464
.3655
.3838
.3729
.3909
.3784 |
.3962
.3711
.3802
.3892
.4133
.4298
2.5
2.6
2.7
4048 |.4065
4082
.4249
.4099
.4116
.3979
.3997
.4014
.4031
.4281
.4183
.4346
.4502
.4654
.4200
.4362
.4518
.4150
.4166
.4216
.4232
.4265
.4393
.4548
4425
.4579
.4728
4456
.4609
.4757
.4440
.4330
.4487
.4639
.4378
.4533
.4409
.4314
.4472
2.8
2.9
.4564
.4594
-4624
.4669
.4683
.4698
.4713
.4742
3.0
3.1
3.2
3.3
3.4
.4786
.4928
.5065
.5198
.5328
.4814
.4955
.5092
.4829
.4969
.5105
.5237
.5366
-4771
.4914
.4800
.4843
.4857
.4997
.5132
.5263
.5391
.4871
.5011
.4886
.5024
.5159
.4900
.4942
.4983
.5038
.5051
.5185
.5315
.5079
.5211
.5340
.5119
.5250
.5378
.5145
.5276
.5403
.5172
.5224
.5289
.5302
.5353
.5416
.5428
3.5
3.6
3.7
3.8
3.9
.5441
.5465
.5587
-5694 .5705 .5717
.5453
.5575
.5478
.5599
.5490
.5611
.5729
.5502
.5623
.5514
.5635
.5752
.5866
.5527
.5539
.5658
.5551
.5563
.5647
.5670
-5682
.5798
.5911
.5740
.5855
.5966
.5763
.5877
.5775
.5888
.5786
.5899
.5809
.5821
.5933
.5832
.5944
.5843
.5922
.5955
.5977
.5988
.5999
.6010
4.0
4.1
4.2
4.3
4.4
.6021
.6128
.6232
.6031
.6138
.6042
.6149
.6253
.6355
.6454
.6053
.6064
.6170
.6075
.6180
.6085
.6191
.6294
.6395
.6493
.6096
.6201
.6304
.6107
.6117
.6160
.6263
.6365
.6212
.6314
.6415
.6513
.6222
.6325
.6425
.6243
.6345
.6274
.6284
.6375 .6385
.6474
.6335
.6405
.6435
.6444
.6464
.6484
.6503
.6522
.6532 | .6542 .6551
.6628
4.5
4.6
4.7
4.8
4.9
.6561 .6571
.6656
.6749
.6839
.6580
.6675 | .6684
.6767
.6857
.6590
.6599
.6693
.6785
.6875
.6609
.6702
.6794
.6884
.6972
.6618
.6712
.6803
.6893
.6981
.6637
.6646
.6739
.6830
.6920
.6665
.6758
.6848
.6937
.6721
.6730
.6812 | .6821
.6902
.6776
.6866
.6955
.6911
.6928
.6946
.6964
5.0
5.1
5.2
5.3
5.4
.6990
.7076
.7160
.6998
.7007
.7093
.7177
.7016
.7101
.7185
.7267
.7348
.7024
.7110
.7193
.7275
.7356
.7033
.7118
.7202
.7284
.7364
.7042
.7126
.7210
.7292
.7372
.7050
.7135
.7218
.7300
.7059
.7143
.7084
.7168
.7251
.7332
.7067
.7243
.7324
.7226
.7308
.7388
.7152
.7235
.7259
.7340
.7316
.7396
.7380
logio元=0.4971, logio2z=0.7982
0
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