Simplify
Log base 3 (square root of 243 times the square root of 81 times the cube root of 3) ALL over Log base 2 (the fourth root of 64 minus 10.
Thank you :) sorry I don't know how to illustrate the problem any better.
Need help with this math problem :/?
2017-12-15 9:40 am
回答 (1)
2017-12-15 9:50 am
✔ 最佳答案
log[3](243^(1/2) * 81^(1/2) * 3^(1/3)) =>log[3](3^(5/2) * 3^(4/2) * 3^(1/3)) =>
log[3](3^(5/2 + 4/2 + 1/3)) =>
log[3](3^(9/2 + 1/3)) =>
log[3](3^(27/6 + 2/6)) =>
log[3](3^(29/6)) =>
(29/6) * log[3](3) =>
(29/6) * 1 =>
(29/6)
log[2](64^(1/4)) - 10 =>
log[2](2^(6/4)) - 10 =>
(6/4) * log[2](2) - 10 =>
(3/2) * 1 - 10 =>
3/2 - 20/2 =>
-17/2
(29/6) / (-17/2) =>
(29/6) * (-2/17) =>
(29/3) * (-1/17) =>
-29/51
收錄日期: 2021-04-11 21:50:31
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20171215014015AAVktfV