exponential question?
2020-09-07 11:24 pm
reposting this as not anonymous, so please i need help with this question :/
回答 (2)
2020-09-07 11:42 pm
P = Pₒ eᵏᵗ …… [1]
P = 6 (1.5)ᵗ …… [2]
[1] = [2]:
Pₒ eᵏᵗ = 6 (1.5)ᵗ
ln(Pₒ eᵏᵗ) = ln[6 (1.5)ᵗ]
ln(Pₒ) + ln(eᵏᵗ) = ln(6) + ln(1.5)ᵗ
Put Pₒ = 6
Then, ln(eᵏᵗ) = ln(1.5)ᵗ
kt = t ln(1.5)
k = ln(1.5)
k ≈ 0.4055
Hence, P = 6 e⁰·⁴⁰⁵⁵ᵗ
P = 6 (1.5)ᵗ …… [2]
[1] = [2]:
Pₒ eᵏᵗ = 6 (1.5)ᵗ
ln(Pₒ eᵏᵗ) = ln[6 (1.5)ᵗ]
ln(Pₒ) + ln(eᵏᵗ) = ln(6) + ln(1.5)ᵗ
Put Pₒ = 6
Then, ln(eᵏᵗ) = ln(1.5)ᵗ
kt = t ln(1.5)
k = ln(1.5)
k ≈ 0.4055
Hence, P = 6 e⁰·⁴⁰⁵⁵ᵗ
2020-09-07 11:33 pm
P = P₀e^kt = 6(1.5)^t
then e^k = 1.5
Take ln of both sides
k = ln (3/2) = 0.405465
then e^k = 1.5
Take ln of both sides
k = ln (3/2) = 0.405465
收錄日期: 2021-04-24 08:00:05
原文連結 [永久失效]:
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