SOLUTION: Please solve with steps 1/2 = 2 to the power of a/3

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Question 133286: Please solve with steps
1/2 = 2 to the power of a/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F2+=+2%5E%28a%2F3%29 Start with the given equation


2%5E%28-1%29+=+2%5E%28a%2F3%29 Rewrite 1%2F2 as 2%5E%28-1%29+


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

So

-1=a%2F3


-3=a Multiply both sides by 3 to isolate "a"


So our answer is a=-3