解方程 3^x - 3^-x = 80/9
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解方程 3^x - 3^-x = 80/9
解方程 3^x - 3^-x = 80/9
解方程 3^x - 3^-x = 80/9
设t=3^x
3^x - 3^-x = 80/9
t - 1/t =80/9
9t^2 - 80t - 9=0
(9t+1)(t-9)=0
又t>0
t=9
3^x=9=3^2
x=2
X=5/36
3^x=9
X=2
3^x - 3^-x = 80/9
(9*3^2x+1)(3^3x-9)=0
则9*3^2x+1=0或3^3x-9=0
从而3^3x=9
x=2
x=2