Question: The area covered by a newly-introduced species of invasive weed doubles every 4 years. Suppose the weed currently covers 23 km^2.
a) Write an equation that gives the area, A, covered by the weed, in t years. b) Estimate how many years it will take for the weed to cover 51 km^2
Equation:
$A = 23(2)^{t/4}$
I could keep plugging in values till I get the correct but how would I reverse the equation to get t when A = 51?
I really need to understand this stuff for a test tomorrow... I jumped into a course 3 weeks late and this is what I get hit with.