Use the properties of logarithms to expand the following logarithmic expression as much as possible. 

Solve the following exponential equation by finding the exact solution.

Evaluate the following expression without a calculator. [ans]

The exponential model described the population, A, of a country in millions. Where t is number of years after 2003. Use the model to answer the following questions. A) What was the population of the country in 2003? Round to one decimal place. [ans1] B) According to the model what would the population be in 2025? Round to one decimal place. [ans2]

Use the exponential decay model to answer the following questions. The half-life of a certain substance is 24 years.  A) What is the decay rate, k? Round to 4 decimal places. [ans1]   B) How long would it take for a sample of the substance to decay to 38% of the original quantity? Round to the nearest year. [ans2]

The exponential model described the population, A, of a country in millions. Where t is number of years after 2003. Use the model to answer the following questions. A) What was the population of the country in 2003? Round to one decimal place. [ans1] B) According to the model what would the population be in 2025? Round to one decimal place. [ans2]

Use either the compound interest formula or to solve the following problem. Round your answer to the nearest cent. Find the accumulated value of an investment of $10,000 for 7 years at an interest rate of 2.4% compounded continuously. 

Use the properties of logarithms to condense the following logarithmic expression as much as possible.

Use either the compound interest formula or to solve the following problem. Round your answer to the nearest cent. Find the accumulated value of an investment of $13,000 for 5 years at an interest rate of 4.8% compounded monthly.  

Use the change of base formula, , to answer the following questions. A) Rewrite in terms of the natural logarithm by using the change of base formula.   B) Approximate the value of using your calculator. Round to three decimals.