SOLUTION: Please help me solve this equation ... Find the value of x satisfying ...{{{2^(3x+1)-3.2^(x)+2^(x+1)=2^x}}}

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Question 983632: Please help me solve this equation ... Find the value of x satisfying ...
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!

Let us introduce a new variable.

Let  y  be  :    = .

Then you can re-write your equation in the form

- + = .

Collect common terms:

= .

Since   =   can not be zero,  you can divide both sides by  ,  and you will get

= .

It implies   = .

Hence,   = .

Therefore,  x = 0.

Answer.  x = 0.


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