To find an equation for this situation, we can define a variable to represent the number of months that have passed. Let's call it "m".
Since the number of rabbits doubles every month, we can set up an equation using exponential growth. Initially, Lenny and George start with 2 rabbits, so the equation would be:
Number of rabbits = 2 * (2^m)
Now, let's solve the second part of the question. We know that Lenny and George now have 30 million rabbits. So we can substitute this value into the equation:
30,000,000 = 2 * (2^m)
To find the number of months that have passed, we need to isolate the variable "m". Let's solve for "m" by simplifying the equation:
Divide both sides of the equation by 2:
15,000,000 = 2^m
Now, take the logarithm (base 2) of both sides of the equation:
log2(15,000,000) = log2(2^m)
Using the property of logarithms that states log(a^b) = b * log(a), we simplify the equation further:
log2(15,000,000) = m
Using a calculator to solve for log2(15,000,000), we find that:
m ≈ 23.13
Therefore, it would take approximately 23.13 months for Lenny and George to have 30 million rabbits. Since we cannot have a fraction of a month, we round up to the nearest whole number.
So, the answer is that approximately 24 months have passed.