麻烦解一道方程~3*3^2x+2*3^x-1=0
问题描述:
麻烦解一道方程~
3*3^2x+2*3^x-1=0
答
设y =3^x,于是3^2x = y*y
有3*y*y + 2*y - 1 = 0
(3*y - 1) (y + 1) = 0
而y = 3^x > 0 因此取 y=1/3, 于是x= -1
答
设y =3^x,于是3^2x = y*y
有3*y*y + 2*y - 1 = 0
(3*y - 1) (y + 1) = 0
而y = 3^x > 0 因此取 y=1/3,于是x= -1