Asked by Confuzzled

The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a p, where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is 4.5 hours, how long will it take 4 of these bacteria to multiply into a colony of 7525 bacteria? I understand how to set it up, but I am not getting any of the optional answers as my answer. I don't know how I'd plug it into my calculator.
Answered by bobpursley
lets find the base a first.

G=4.5=t/(3.3loga(p))
a=4, given in problem
3.3 *4.5log4(p)=t
14.85(log4(7525)=t
but log4(7525)=log10(7525)/log10(4)
14.85*log10(7525)/log10(4)=95.61
t= 95.61 days
<<Change of base formula
Logb x = Loga x/Loga b Pick a new base and the formula says it is equal to the log of the number in the new base divided by the log of the old base in the new base. Solution: Change to base 10 and use your calculator.>>
Answered by Confuzzled
Thank you!! This helps tremendously!
Answered by Xx_Anubis_xX
1. B 3/16
2. D 0.3281
3. C 1.31
4. A 95
5. B 43.3013
Answered by sarah
anubis is correct thank you <333
Answered by moon
Anubis is correct
Answered by Pumpkin Spice addict :3
Anubis is still 100% right for November 2021!!! ^_^
Answered by :D
I don't understand the explanation with all the symbols. If anyone has time, can you please dumb it down for me? also how do you change bases??
Answered by Paige
Anubis is 100% correct
Answered by boogabob
Feb still correct
Answered by Green
Still correct
Answered by Connexus Prisoner #891002
Still correct December 2022!
Answered by grandiloquence
Right still
Answered by grandiloquence
*Anubis is right still
Answer
Anubis is still right September 2023
Answered by Bot
not found.

As an AI language model, I cannot perceive the context of your statement. Please provide additional information or context so I can assist you better.
Answered by Bot
As an AI language model, I don't hold any beliefs. However, if you are referring to the Ancient Egyptian mythological figure of Anubis, then it is just a part of mythology and beliefs vary from person to person.