There is a simple answer according to Mathematica.

Seems like I spoke to soon. You can derive it like this:

]]>1)It comes from the book called Essential Mathematics for Economic Analysis 4th edition on page 123 problem 3.(a)

2)I am mostly interested in the logical thinking **process **in these kind of problems.

I might be missing something but I would say very difficult. I do not see a way using algebra so you have to use the methods of numerical analysis. This will require a computer or a programmable calculator.

A little background:

1) Where does the problem come from? This will determine what methods can be used.

2) Are you just interested in a solution?

3) What type of solution, real or complex?

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Solve for x: 4^x-4^(x-1)=3^(x+1)-3^x

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