1.Describe how you could use the graph off(x) = 2xto obtain a decimal approximation for (2).

2.The exponential functiony= 2xis one-to-one and has an inverse function. Try finding the inverse function by exchangingxandyand solving fory.Describe the difficulty that you encounter in this process. What is needed to overcome this problem?

3.In 2004, world population was approximately 6.4 billion with an annual growth rate of 1.23%. Discuss two factors that would cause this growth rate to slow down over the next ten years.

4.Describe the relationship between an equation in logarithmic form and an equivalent equation in exponential form.

5.Explain how to find the domain of a logarithmic function.

6.Without showing the details, explain how to condense ln(x) - 2ln(x+1).

7.Explain how to use your calculator to find log14283.

8.Explain how to solve an exponential equation when both sides can be written as a power of the same base.

9.Explain how to solve an exponential equation when both sides cannot be written as a power of the same base. Use 3x= 140 in your explanation.

10.Explain the differences between solving log3(x-1) = 4, and log3(x-1) = log34.