SOLUTION: {{{2^(x+1)=1/8}}} i know you have to first get the same bases but how?

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Question 132653: 2%5E%28x%2B1%29=1%2F8
i know you have to first get the same bases but how?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%28x%2B1%29=1%2F8 Start with the given equation


2%5E%28x%2B1%29=2%5E%28-3%29 Rewrite 8 as 2%5E%28-3%29. Notice how the two sides have the same base.


Since the bases are equal, this means that the exponents are equal.



x%2B1=-3 Set the exponents equal to one another



x=-3-1 Subtract 1 from both sides


x=-4 Combine like terms on the right side

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Answer:
So our answer is x=-4