27(5^(X)) -125(3^(X))=0
求X
27(5^(X)) -125(3^(X))=0
2013-11-25 6:54 am
回答 (2)
2013-11-25 7:09 am
✔ 最佳答案
27(5^(X)) - 125(3^(X)) = 027(5^(X)) = 125(3^(X))
3^3 * 5^X = 5^3 * 3^X
3^3 / 3^X = 5^3 / 5^X
3^(3-X) = 5^(3-X)
3^(3-X) / 5^(3-X) = 1
(3/5)^(3-X) = 1
3 - X = 0
X = 3
2013-11-25 7:53 am
(27)(5^x) - (125)(3^x) = 0
(27)(5^x) = (125)(3^x)
(5^x)/(3^x) = (5/3)^x = 125/27 = (5/3)^3
(5/3)^x = (5/3)^3
x = 3
(27)(5^x) = (125)(3^x)
(5^x)/(3^x) = (5/3)^x = 125/27 = (5/3)^3
(5/3)^x = (5/3)^3
x = 3
收錄日期: 2021-04-27 20:45:13
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20131124000051KK00263