Need help solving an exponential function math problem!!!
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Need help solving an exponential function math problem!!!

[From: ] [author: ] [Date: 12-05-11] [Hit: ]
5/log0.871 = 5.......
The level of caffeine in Abby's bloodstream peaks shortly after drinking a cup of coffee. her peak caffeine blood level is 120mg, and the level of caffeine in the blood has an hourly decay factor of 0.871. What is the half-life of the caffeine in her bloodstream?

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120*.871^x=60
.871^x=.5
log(.5)/log(.871)= 5
5 hours

Best answer please!

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0.5 = 0.871^t
t = log0.5/log0.871 = 5.02 hours
1
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