Question 439661:  Students in an English class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, after t months was found to be given by  S(t) = 68 -20 log (t + 1), t ≥ 0. 
 
After what time t was the average score 50%?
 
This is all I got so far... I do not know where to start or finish please help! thank you.
 
 .5= 68 - 20 log (t + 1), t ≥ 0.  
 Found 2 solutions by  stanbon, tpcrayton: Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Students in an English class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, after t months was found to be given by S(t) = 68 -20 log (t + 1), t ≥ 0.  
After what time t was the average score 50%?  
This is all I got so far... I do not know where to start or finish please help! thank you.  
50 = 68 - 20 log (t + 1), t ≥ 0.  
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-18 = -20*log(t+1) 
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0.9 = log(t+1) 
---- 
t+1 = 10^0.9 
--- 
t = 7.943.. -1 
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t = 6.943 months 
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Cheers, 
Stan H. 
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 Answer by tpcrayton(1)      (Show Source): 
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