数学
高校生

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、、

う値をそれぞれ求めよ。 1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 logio2=-× ×0.3010=0.1003 3 logio/2- 常用対数表から0.1003 に近い値を探して、 2=1.26 20 3/ htt 日 もを日
常用対数表(一) 食 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は省略して表記している。 数 O 1 2 3 4 5 6 フ 8 .0086 .0492 -0864- .1206 .1523 .0128 .0531 -0899 .1239 .1553 .0170 .0569 .0934 .1271 .1584 .0043 .0000 .0414 1.0 1.1 1.2 十.0792 1.3 .0212 .0607 -0969 .1303 1614 .0253 .0645 .1004 .1335 .1644 .0294 .0682 .1038 .0334 .0719 .1072 .1399 .1703 .0453 .0374 .0755 .1106 .1430 .1732 -0828 .1173 .1139 .1461 .1367 .1673 1.4 .1492 .1818 .2095 .2355 .2601 .2833 .1847 .2122 .2380 .2625 .2856 .1875 .1761 .2041 .2304 .1790 1.5 1.6 1.7 1.8 1.9 .2068 .2330 .2577 .1903 .2175 .2430 .2672 .2900 .1931 .2201 .2455 .1959 .2227 .2480 .2718 .2945 .1987 .2253 .2504 .2742 .2967 .2014 .2279 .2529 .2148 .2405 .2648 .2553 .2788 .2695 .2923 .2765 .2989 .2810 .2878 2.0 2.1 2.2 2.3 2.4 3010 .3222 .3424 .3032 .3243 .3444 .3636 .3820 .3054 .3263 .3464 .3655 .3838 .3075 .3284 .3483 .3674 .3856 .3096 .3304 .3502 .3692 .3874 .3118 .3324 .3522 .3711 .3892 .3139 .3160 .3365 .3560 .3747 .3927 .3181 .3385 .3579 .3201 .3404 .3345 .3541 .3729 .3617 .3802 .3598 .3784 .3962 .3766 .3909 .3945 .3997 .4166 .4330 .4487 .4014 .4183 .4346 .4502 .4654 .4031 .4200 .4362 .4518 .4669 .3979 .4150 4082 .4249 .4048 .4065 2.5 2.6 2.7 2.8 2.9 .4099 .4216 .4378 .4533 .4116 .4281 .4440 .4594 .4133 .4298 .4456 .4609 .4757 .4232 .4265 .4425 2.4579 .4728 .4314 .4472 .4393 .4548 .4409 .4564 .4713 .4624 .4639 .4683 .4698 .4742 .4800 .4942 .4843 .4983 .5119 .5250 .4829 .4969 .4814 .4857 3.0 3.1 3.2 3.3 3.4 .4771 .4786 .4871 .4886 .4900 .4928 .4955 .4997 .5011 .5145 .4914 .5079 .5211 .5092 .5224 .5353 .5024 .5159 .5038 .5172 .5302 .5051 .5105 .5132 .5185 .5315 .5065 .5198 .5328 .5237 .5366 .5263 .5391 .5276 .5403 .5289 .5416 .5340 .5378 .5428 .5465 .5587 .5490 .5611 .5729 .5843 .5955 .5478 .5599 .5453 .5502 .5514 .5527 3.5 3.6 3.7 3.8 3.9 .5441 .5539 .5658 .5775 .5888 .5999 .5551 .5575 -5694 .5705 .5809 15635 .5752 .5866 .5977 .5647 .5763 .5877 .5623 .5563 .5682 .5798 .5911 .5670 .5740 .5855 .5966 .5717 .5821 .5933 .5786 .5899 .6010 .5832 .5922 .5944 .5988 4.0 4.1 4.2 4.3 4.4 .6021 .6128 .6232 .6042 .6149 .6253 .6355 .6075 .6180 .6284 .6385 .6484 .6031 .6053 .6064 .6085 .6191 .6096 .6107 .6117 .6222 .6138 .6243 .6345 .6160 .6263 .6365 .6464 .6170 .6274 .6375 .6474 .6201 .6304 .6212 .6314 .6415 .6513 .6294 .6395 .6325 .6425 .6522 .6335 .6405 .6435 .6444 .6454 .6493 .6503 4.5 4.6 4.7 4.8 4.9 .6532 | .6542 .6551 .6628 | .6637 .6721 .6812 .6902 .6609 | .6618 || | .6702 .6561 .6571 .6580 .6590 .6599 .6693 .6646 .6656 .6749 .6665 .6758 .6848 .6675 .6767 .6857 .6684 .6776 .6712 .6730 .6821 .6911 .6739 .6830 .6839 .6928 .6866 .6955 .6785 .6875 .6794 .6884 .6803 .6893 .6981 .6920 .6937 .6946 .6964 .6972 5.0 5.1 .6990 .6998 .7084 .7007 .7016 .7101 .7024 .7110 .7033 .7118 .7050 .7135 .7042 .7059 .7067 .7076 .7160 .7093 .7177 .7126 .7143 .7152 5.2 5.3 5.4 .7168 .7251 .7332 .7185 .7267 .7348 .7193 .7202 .7284 .7210 .7292 .7235 .7316 .7396 .7218 .7226 .7243 .7324 .7259 .7275 .7356 .7308 .7388 .7300 .7340 .7364 .7372 .7380 log.o元=0.4971, logio2z=0.7982 の ?456789 01234 56789 01234567 89 01 234 222 22 2 2222 33o sa る333 34 ーN 34 Qo5 55 4444

回答

log10 2の値をさがして、それに1/3をかけてるだけじゃないのかしら?

2の3乗根は2の1/3乗と書き換えられるから。

(*ΦωΦ)/

差し支えなければベストアンサーの認定をお願いします❀(*´▽`*)❀

この回答にコメントする
疑問は解決しましたか?