BigGlenntheHeavy
Senior Member
- Joined
- Mar 8, 2009
- Messages
- 1,577
\(\displaystyle If \ one \ needs \ to \ know \ what \ (3.58)^{2/3} \ is, \ just \ plug \ it \ into \ your \ trusty \ TI-89 \ and \ voila, \ it\)
\(\displaystyle spits \ out \ (3.58)^{2/3} \ = \ 2.34021280359.\)
\(\displaystyle Now, \ without \ an \ Aladdin's \ Lamp, \ a \ calculator, \ one \ had \ to \ revert \ to \ a \ book \ of \ logs, \ to \ wit:\)
\(\displaystyle Book \ of \ common \ logs \ to \ four \ decimal \ places.\)
\(\displaystyle Let \ N \ = \ (3.58)^{2/3}, \ then \ logN \ = \ \frac{2}{3}log(3.58)\)
\(\displaystyle logN \ = \ \frac{2}{3}(.5539) \ = \ .36926, \ now \ you \ had \ to \ find \ its \ antilog.\)
\(\displaystyle Hence, \ N \ = \ 2.34 \ (without \ interpolation, \ nasty \ grunt \ work).\)
\(\displaystyle This \ was \ the \ norm \ when \ I \ was \ in \ high \ school; \ in \ college \ one \ was \ given \ the \ slide \ rule.\)
\(\displaystyle Either \ way \ one \ only \ got \ an \ approximation, \ now \ thanks \ to \ Aladdin's \ Lamp, \ TI-89, \ we \ can \ leave\)
\(\displaystyle the \ drudgery \ to \ the \ calculator \ and \ pursue \ a \ higher \ realm.\)
\(\displaystyle spits \ out \ (3.58)^{2/3} \ = \ 2.34021280359.\)
\(\displaystyle Now, \ without \ an \ Aladdin's \ Lamp, \ a \ calculator, \ one \ had \ to \ revert \ to \ a \ book \ of \ logs, \ to \ wit:\)
\(\displaystyle Book \ of \ common \ logs \ to \ four \ decimal \ places.\)
\(\displaystyle Let \ N \ = \ (3.58)^{2/3}, \ then \ logN \ = \ \frac{2}{3}log(3.58)\)
\(\displaystyle logN \ = \ \frac{2}{3}(.5539) \ = \ .36926, \ now \ you \ had \ to \ find \ its \ antilog.\)
\(\displaystyle Hence, \ N \ = \ 2.34 \ (without \ interpolation, \ nasty \ grunt \ work).\)
\(\displaystyle This \ was \ the \ norm \ when \ I \ was \ in \ high \ school; \ in \ college \ one \ was \ given \ the \ slide \ rule.\)
\(\displaystyle Either \ way \ one \ only \ got \ an \ approximation, \ now \ thanks \ to \ Aladdin's \ Lamp, \ TI-89, \ we \ can \ leave\)
\(\displaystyle the \ drudgery \ to \ the \ calculator \ and \ pursue \ a \ higher \ realm.\)