SOLUTION: Solve for x: 3^x+2 plus 3^x = 270 Please use steps God bless How to answer this quesiton with logs appearing in at least one of the steps? Thanks:)

Question 133441: Solve for x: 3^x+2 plus 3^x = 270
Please use steps
God bless
How to answer this quesiton with logs appearing in at least one of the steps?
Thanks:)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Rewrite as

Factor out

Evaluate to get 9

Add

Divide both sides by 10

Take the log of both sides

Rewrite the left side using the identity

Divide both sides by

Combine the logs

Evaluate to get 3

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Answer:

So the answer is
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