SOLUTION: Solve 3^2x+1=1/27

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Question 202841: Solve 3^2x+1=1/27
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%282x%2B1%29=1%2F27 Start with the given equation.


3%5E%282x%2B1%29=1%2F%283%5E3%29 Rewrite 27 as 3%5E3


3%5E%282x%2B1%29=3%5E%28-3%29 Rewrite 1%2F3%5E3 as 3%5E%28-3%29


2x%2B1=-3 Since the bases are equal, this means that the exponents are equal.


2x=-3-1 Subtract 1 from both sides.


2x=-4 Combine like terms on the right side.


x=%28-4%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-2 Reduce.


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Answer:

So the solution is x=-2