exam Maths Puzzle Numerical Ability

How can $5400 be invested, part of it at 8% and the remainder at 10%, so that the two investments with produce the same amount of interest?
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Solve with exact solutions. I'm not sure what to do. Thanks for your help.

16^2x-1=32
(rad)1/6 im not sure if I can go any farther simplifying this, can i?