We are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.
1/2 + x + 1/6 > = 1
First add the 2 fractions:
1/2 + 1/6 = 2/3
Now you have:
2/3 + x > =1
Subtract 2/3 from both sides:
x >= 1 - 2/3
X > = 1/3
It triples in size every 4 days. In 16 days it will be 3 * 3 * 3 * 3 times bigger.
3 * 3 * 3 * 3 = 81
Therefore, after 16 days, the colony will contain (81 * 150) or 12,150 microorganisms.
This equation can be written as
(v-8)(v+5)/ (v-8)(v-3)
= v+5/v-3
