SOLUTION: Find rational exponents that satisfy the equation 32^? = 8

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Question 627312: Find rational exponents that satisfy the equation 32^? = 8
Found 2 solutions by jim_thompson5910, psbhowmick:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Rewrite 32 as 2%5E5 and 8 as 2%5E3

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
32%5Ex+=+8
%282%5E5%29%5Ex+=+2%5E3
2%5E5x+=+2%5E3
2%5E%285x-3%29+=+1

Any real number to the power zero is 1. So, 5x-3=0 i.e. x=3%2F5