Question:
Solve for n in the equation \(2^{2n-1} = {1 \over 8^{n-3}}\)
Answer:
\(2^{2n-1} = {8^{-(n-3)}}\)
\(2^{2n-1} = 8^{-n+3}\)
\(2^{2n-1} = 2^{3(-n+3)}\)
\(2^{2n-1} = 2^{-3n+9}\)
\(2n-1 = -3n + 9\)
\(n = 2\)
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