SOLUTION: Solve for x 3^x+1 - 4 + 1/3^x =0

I will read it as

 +  = .

Rewrite it in this way

 +  = .    (1)

Introduce new variable u = . Then the equation (1) takes the form

 = .

Multiply both sides by "u" to rid of denominator. You will get

 = .

Factor the left side:

(3u-1)*(u-1) = 0.    (2)

Then the equation (2) splits in two independent equations:


1)  3u - 1 = 0  --->  u = .  Then   = .  Hence, x = -1 is the solution of the original equation (1).

2)  u - 1 = 0  --->  u = 1.  Then  = 1.  Hence, x = 0 is the solution of the original equation (1).

Answer.  The solutions of the original equation are x = 0  and  x = -1.