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A Certain Strain of Bacteria Divides Every Three Hours t=3log(N/50)log2t = 3 \frac { \log ( N / 50 ) } { \log 2 }

question 107

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A certain strain of bacteria divides every three hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by t=3log(N/50) log2t = 3 \frac { \log ( N / 50 ) } { \log 2 } Find the time required for the colony to grow to five million bacteria


Definitions:

Renal Corpuscle

The renal corpuscle is a key structure in the kidney, involved in blood filtration, consisting of the glomerulus and Bowman's capsule.

Afferent Arteriole

A small artery that leads toward the capillaries in the glomerulus of the kidney, playing a key role in filtration of the blood.

Podocyte

Highly specialized cells in the kidney that wrap around the capillaries of the glomerulus, playing a key role in the filtration of blood to form urine.

Vasa Recta

The vasa recta are a series of straight capillaries in the medulla of the kidney that play a crucial role in the concentration and regulation of urine.

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