Job a pays $13.00 per hour. job b pays $11.00 per hour but has health benefits. health insurance costs $3,400 per year. you expect to work 2,000 hours during the year. ignoring taxes, which job will leave you with more money at the end of the year?

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:

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !