SOLUTION: Find the solution(s) to {{{2^k=sqrt(3^(k-2))}}}
How do I get rid of the square root? Is that the first step? I'm not sure...
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Question 674115: Find the solution(s) to
How do I get rid of the square root? Is that the first step? I'm not sure...
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Square both sides
k*log(4) = (k-2)*log(3) = k*log(3) - 2log(3)
k*log(4) - k*log(3) = -2log(3)
k(log(3) - log(4)) = log(9)
k*log(3/4) = log(9)
k = log(9)/log(0.75)
k =~ -7.63768
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