F4 Maths Question

2010-01-18 12:13 am
It is given that 5^x = 0.5
If 5^(-kx) = 8
find the value of k


I need steps.
Thank you.
更新1:

When 3^(x-3) = 5^(x-3) x=? Steps please.

回答 (1)

2010-01-18 12:24 am
✔ 最佳答案
5^(-kx) = 8

(5^x)^(-k) = 8

0.5^(-k) = 8

(2^-1)^(-k) = 8

2 ^ k = 8

2 ^ k = 2 ^ 3

k = 3




2010-01-17 16:32:52 補充:
Since 3^0 = 5^0

When 3^(x-3) = 5^(x-3)

x-3 = 0

x = 3


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