Samslays
Samslays Samslays
  • 28-05-2018
  • Mathematics
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What is the solution to the equation? 16=(x-2)^2/3

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jcherry99
jcherry99 jcherry99
  • 28-05-2018
2^4 = (x - 2)^(2/3)       Multiply the powers on both sides by 3/2
2^(4*3/2) = (x - 2)^ [(2/3)*(3/2)]
2^6 = (x - 2)^1
2^6 = (x - 2)
but 2^6 = 64
64 = (x - 2)                 Remove the brackets.
64 = x - 2                   Add 2 to both sides.
66 = x 
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