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Solve for t  
(log10t)2=3 − 2log10t

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let log10t =x
x2 =3 − 2x
x2 + 2x − 3 = 0
(x+3) (x−1)=0
x=1 or −3
log10t = 1 or −3
  101 = t
  10−3= t
  t=10 or 0.00

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