Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = 
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = 
3 = 1 + 
r = 100×(3 - 1)
r = 200
So the function is, f(x) = 
a). Population after 4 hours,
f(4) = 
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = 
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = 
= Infinite
It really depends on the question and what you want to solve. An exponential function can be written as y = x^2 and if you are solving for y then it will be log(base x) y = 2.
More Examples:
3x = 15
(log both sides with base of 3)
log(3)3x = log(3)15
since log(3)3 = 1 then,
(1)x = log(3)15
x = log 15 / log 3
= 2.465
J + 3 + 2j ≤ 18
3j + 3 ≤ 18
3j ≤ 15
j ≤ 5
jimmy's age is 5 years or less
I think all solution apply