F.4 Maths-Exponential Function
It is given that 5^x=0.5. If 5^-kx=8,find the value of k.
回答 (2)
✔ 最佳答案
5^-kx=8
(5^x)^(-k) = 8
0.5^(-k) = 8
[2^(-1)]^(-k) = 8
2^(-1 * -k) = 8
2^k = 8
2^k = 2^3
k = 3
X = log 0.5/log5 = -0.431; and
kX = log 8/log 5 = 1.292.
therefore, k = 1.292/-0.431 =-2.997
= -3 (round up to nearest integer);
(Proof 5^-0.431 = 0.5 and 5^1.292 = 8)
收錄日期: 2021-04-21 22:06:14
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20091108000051KK00684
檢視 Wayback Machine 備份