[F.4]Maths Log

2015-03-02 1:18 am
how to solve 3(5^2x-1)+5^2x+1=41?

回答 (3)

2015-03-02 2:44 am
✔ 最佳答案
3 [5^(2x- 1)] + 5^(2x) + 1 = 41

3 [5^(2x - 1)] + 5^[1 + (2x - 1)] = 40

3 [5^(2x - 1)] + 5 [5^(2x - 1)] = 40

(3 + 5) [5^(2x - 1)] = 40

8 [5^(2x - 1)] = 40

5^(2x - 1) = 5

2x - 1 = 1

2x = 2

x = 1
2015-03-02 8:37 pm
3(5²ˣ⁻¹)+5²ˣ+1=41
==> 3(5²ˣ)+5(5²ˣ)+5=205 ⋯⋯ (multiply each term by 5)
==> 8(5²ˣ)=200
==> 5²ˣ=25=5²
∴ 2x=2
==> x=1
2015-03-02 1:59 am
3 [ 5^(2x-1) ] + 5^(2x+1) = 41
or
3 [ 5^(2x) - 1 ] + 5^(2x) + 1 = 41 ?


收錄日期: 2021-04-15 18:24:09
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