SOLUTION: Bacteria in a dish double the area they cover everyday. If the dish is fully covered after 25 days, on what day was 1/2 of it covered?

Question 1010633: Bacteria in a dish double the area they cover everyday. If the dish is fully covered after 25 days, on what day was 1/2 of it covered?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
On the day 24-th.

It is clear without any explanations.

    (It is old joke problem).

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

The dish is in some area unit.
y is how much of some area unit same unit as p.
p is initial amount of area.
x is days time
b is a factor like a rate.

Bacteria in a dish double the area they cover everyday.

the dish is fully covered after 25 days
y is the one whole dish. y=1 when x=25.

a very small amount of the dish.

The model may be .

The question is, what is x, when y=1/2 ?

Choose the base you want for the logarithms: Natural or Common.
Compute x.

(Day 24)
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