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解方程~(指數及對數函數)...

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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

最佳解答:

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

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