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解方程 6的X次方+4的X次方=9的X次方,求x的值?
人气:133 ℃ 时间:2019-09-25 09:42:59
解答
6^x+4^x = 9^x两边同除以9^x,可得:(2/3)^x+(2/3)^(2x) = 1 ,令 y = (2/3)^x ,可得:y+y^2 = 1 ,即:y^2+y-1 = 0 ,解得:y = (√5-1)/2 ,(舍去负值)即:(2/3)^x = (√5-1)/2 ,可得:x = log(2/3)[(√5-1)/2] ....
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