SOLUTION: Please help me solve this equation ... {{{4^(x+1)-9(2)^x=-2}}}

Question 983627: Please help me solve this equation ...
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
Let us introduce a new variable.

Let y be :    = . Note that = = .

Then you can re-write your equation in the form

- = ,   or

- + =

It is a quadratic equation. Solve it using the quadratic formula.

= = = = = = ,

= = = = = = .

= implies = .

= implies = .

Answer. There are two solutions: = and = .

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