Homework Help: pre calculus

Posted by john on Friday, December 17, 2010 at 7:58am.

if there are initial 2500 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours cab n be found using the formula=N=2500(2^t).how long will it take the culture to grow to 75,000 bacteria.

pre calculus - bobpursley, Friday, December 17, 2010 at 9:45am
75000=2500(2)^t

take the log of each side:

log(75000)=log(2500)+tlog(2)
log(30)=t log (2)
t= log(30)/log(2)

solve for t. Your calculator is your best friend on this. I get about five hours
pre calculus - Glen, Tuesday, September 25, 2012 at 2:06am
t=17.3538

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