The population of rabbits on an island is growing exponentially. In the year 2008, the population of rabbits was 7100, and by 2013 the population had grown to 8900.
Predict the population of rabbits in the year 2023, to the nearest whole number.

answer4 to the second power is 16

and 4 to the third power is 64,

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: