SOLUTION: Please help! This has me stumped. I think this is a logarithm problem. Find the integer k such that 270k is a perfect square.

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Question 145834: Please help! This has me stumped. I think this is a logarithm problem.
Find the integer k such that 270k is a perfect square.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
depending on how you look at the problem...

if k is a digit, then 52^2=2704


if the perfect square is the product of 270 and k

prime factors of 270 __ 3*3*3*5*2
__ for a perfect square, even quantities of all prime factors

3*3*3*5*2*(3*5*2) __ 270*30=8100=90^2