SOLUTION: 1/square root 8 = 4^m-3 how do i solve this problem? the answer is m = 9/4 but im not sure how to get that answer

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Question 465339: 1/square root 8 = 4^m-3
how do i solve this problem? the answer is m = 9/4 but im not sure how to get that answer
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/square root 8 = 4^(m-3)
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1/[2^(3/2)] = 2^(2(m-3))
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2^(-3/2) = 2^[2(m-3)]
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-3/2 = 2(m-3)
2m-6 = -3/2
2m = (12/2)-(3/2)
2m = 9/2
m = 9/4
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

 1%2Fsqrt%288%29=+2%5E-1%2F2+%2F2+=+4%5E%28m-3%29

  +2%5E%28-1%2F2%29%2F2+=+2%5E%282m-6%29

     2^(-1/2 -(2m-6)) = 2^1

      -1/2 - 2m+6 = 1 

             9/2 = 2m

             9/4 = m