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I'm really stuck on logs. My teacher doesn't take pride in her work and teaches very sloppy stuff. I was wondering if I can get help with these questions.

1) log to the base 3 of x - log to the base 6 of x = 2

2) a lab tecnician places a bacterial cell into a vial at 5 am. The cells divide in such a way that the number of cells doubles every 4 minutes. The vial is full 1 hour later.

a) how long does it take fot the cells to divide to 4095?

b) at what time is the vial full?

c) at what time is the vial 1/16 full?

for #2, how do you know which "formula" to use. My teacher presented me with 3 formulas:

Ptotal = Pone x e^kt

Atotal = Aone x C^t/p

A = Pe^it

e= is the irrational number 2.71828...

thanks in advance

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# Homework Help: Logarithms and exponents

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