The number of acres of wetland infested by an invasive plant species after t Years is given by u (t) = 12•2^t/3. Solve the equation u (t) = 50. What does your answer tell you about the wetland?

For this case we have the following equation:

u (t) = 12 • 2 ^ t / 3

We equate the equation for u (t) = 50.

We have then:

12 • 2 ^ t / 3 = 50

We clear the value of t:

2 ^ t / 3 = 50/12

log2 (2 ^ t / 3) = log2 (50/12)

t / 3 = log2 (50/12)

t = 3 * log2 (50/12)

t = 6.2 years

Answer:

After 6.2 years 50 acres of wetland are infested by an invasive plant species