Solve the following logarithmic equation by finding the exact solution. Be sure to reject any values that are not in the domain.

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.

Use either the compound interest formula  or  to solve the following problem. Round your answer to the nearest year. If we invested $5,000 at 6.2% interest compounded continuously, how long would it take for our investment to double?

Find the domain of the given logarithmic function.

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]