SOLUTION: What is the solution to the equation 1/(sqrt8) = 4^(m + 3) ?

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Question 696542: What is the solution to the equation 1/(sqrt8) = 4^(m + 3) ?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution to the equation 1/(sqrt8) = 4^(m + 3) ?
sqrt(8) = 2^(3/2)
1/sqrt(8) = 2^(-3/2)
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4^(m+3) = 2^(2m+6)
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2^(-3/2) = 2^(2m+6)
-3/2 = 2m+6
m = -15/2
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What is the solution to the equation 1/(sqrt8) = 4^(m + 3) ?
(m+3)*log(4) = log(1/sqrt(8))
m+=+-3+%2B+log%281%2Fsqrt%288%29%29%2Flog%284%29