Exam 6: Logarithmic Links: Logarithmic and Exponential Functions

Expand the following expression using rules of logarithms:

Which of the following is the exact solution of the equation?

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

Upon her retirement, Mary begins to receive money from a retirement account. The function, , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $360,000? Round your answer to the nearest year.

Solve the equation for t. Round your answer to 2 decimal places.

Given the graph: Which curve represents the function ?

The population of a town grew from 9,000 in 1996 to 13,000 in 1999. A) Find a function of the form, , for the population, P, of the town as a function of t, the number of years after 1996.Round values to 2 decimal places. B) Use this function to find the population in 2005.Round your answer to the nearest person.

Expand the following expression using rules of logarithms: