Question 696542
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 + log(1/sqrt(8))/log(4)}}}