SOLUTION: Determine all real values of x for which {{{3^(x+2)+2^(x+2)+2^x=2^(x+5)+3^x}}}

Question 1114515: Determine all real values of x for which
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x = 3 by graphing
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243 + 32 + 8 = 256 + 27
283 = 283

Answer by ikleyn(53763) (Show Source): You can put this solution on YOUR website!
.

= ====> = ====> = ====> = . (*) At this point, you can guess at least one root x = 3. Next, transforming (*) into = , you can see that this root is unique: there are NO other roots.

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