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so the half-life of a certain bizarre glowing substance is 50 weeks so given our little equation here we know where the 50 goes it goes straight in for the big T which represents the half-life great so the question is how long would it take for 400 pounds of it and the 400 will go in for the initial quantity which is that a0 to be reduced to 90 pounds so another 90 pounds goes in here which represented that that eight represents the final quantity so 90 is equal to 400 times 1/2 to the power of little T over 50 great now what we need to do is isolate T to get started Iamp;#39;ll just divide both sides by 400 again please never multiply the 400 by the 1/2 we canamp;#39;t do that because we have an exponent here so those cancel out over here Iamp;#39;ll simplify this slightly Iamp;#39;ll make it 9 over 49 over 40 is equal to 1/2 to the power of little T over 50 now what I want to do is that I want to bring down the T over 50 how can I do that Iamp;#39;m gonna need logarithms and Ia
