解方程~(指數及對數函數)...
解下列各方程.
9. 3開方x = 12
10. samll3開方x - 1 =3
11. (4x)^5 = 32
12. (x+10)^1/4 = 2
13. (3x^3)^1/2 = 9
14. (x-1)^3/2 = 27
15. samll3開方x^2 = 9
16. x^2/3 = 4
17. 6x^-2 -1 = 2
18.(2x-1)^3/4 - 25 = 100
回答 (2)
✔ 最佳答案
9.
3開方x = 12
開方x=4
x=16
10.
samll3開方x - 1 =3
samll3開方x=4
x=4^3=64
11.
(4x)^5 = 32
1024x^5=32
x^5=32/1024
x^5=1/32
x=(1/32)^(1/5)
x=1/2
12.
(x+10)^1/4 = 2
x+10=2^4
x+10=16
x=6
13.
(3x^3)^1/2 = 9
3x^3=9^2
3x^3=81
x^3=27
x=3
14.
(x-1)^3/2 = 27
x-1=27^(2/3)
x-1=9
x=10
15.
samll3開方x^2 = 9
x^2=9^3
x^2=729
x=27 or x=-27
16.
x^2/3 = 4
x=4^(3/2)=開方4^3=開方64=8
17.
6x^-2 -1 = 2
6x^-2=3
x^-2=1/2
1/x^2=1/2
x^2=2
x=開方2 or x=-開方2
18.
(2x-1)^3/4 - 25 = 100
(2x-1)^3/4=125
(2x-1)=125^(4/3)
2x-1=625
2x=626
x=313
收錄日期: 2021-04-22 00:52:23
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