(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2^{x-2}- 2 = 5 - x

Find x.

2. Relevant equations

log(a)x = y

3. The attempt at a solution

I've thought about this a lot and the best I could come up with was getting to ...

x = log(2)(12 - 4x)

The problem is that I seem to be going in circles and I can't drop x to the same level on both sides of the equation. And the thing that really bothers me is that this problem isn't termed as advanced in the book that I'm going through. The book does, however, state that one should take aid in the graphs (charting of which is a part of the problem given). If you do it that way, it's pretty easy to arrive at the solution, but I want to find it without that or just randomly guessing numbers 1, 2, 3 etc. and trying them out.

Any help would be immensely appreciated :)

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# Homework Help: A logarythmic/exponential equation where x is the exponent

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