SOLUTION: 3^(x+2)+3^x=270

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Question 173574: 3^(x+2)+3^x=270
Answer by solver91311(24713) About Me  (Show Source):
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Rule: x%5Em%2Ax%5En=x%5E%28m%2Bn%29

Apply the rule: 3%5E%28x%2B2%29%2B3%5Ex=270=3%5Ex%2A3%5E2%2B3%5Ex=270

Factor the left: %283%5Ex%29%283%5E2%2B1%29=270 → 3%5Ex%2A10=270 → 3%5Ex=27

But 3%5E3=27 therefore x=3