SOLUTION: A bacterial culture grows according to the formula P=Poa^t. If it takes 5 days for the culture to triple in size, how long did it take to double?

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Question 81026: A bacterial culture grows according to the formula P=Poa^t. If it takes 5 days for the culture to triple in size, how long did it take to double?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if a^5=3, then taking the fifth root of both sides gives a=3^(1/5) ... so if a^x=2 ... (3^(1/5))^x=2

3^(x/5)=3^(log2/log3) ... x/5=log2/log3 ... x=5log2/log3 ... x is approximately 3.15