(3^x + 3^-x) /( 3^x - 3^-x) = 2
x ≠ 0
(3^x + 3^-x) = 2( 3^x - 3^-x)
3^x + 3^-x = 2*3^x - 2*3^-x)
3^x = 3^3^-x
3^x/3^-x = 3
3^2x = 3
2x = 1
x = 1/2
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Verified answer
(3^x + 3^-x) /( 3^x - 3^-x) = 2
x ≠ 0
(3^x + 3^-x) = 2( 3^x - 3^-x)
3^x + 3^-x = 2*3^x - 2*3^-x)
3^x = 3^3^-x
3^x/3^-x = 3
3^2x = 3
2x = 1
x = 1/2