Math 45

3rd Midterm

Spring 1998

Dr Wilson

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1. Graph y = 2x

2. Change to logarithmic form bx = a

3. Change to exponential form t = ln x

4. Expand

5. Express as a single log log x - 2 log y + 3 log z

6. Solve for x and check

log5 (x + 3) + log5 (x-1) = 1

7. Suppose that the population of a city is 30,000 in 1985 and 50,000 in 1995. Assume further that the population is given by the formula

A = Pert

where P is the population in the year 1985, t is the number of years since 1985, A is the population t years after 1985, and r is a suitable constant.

8. Write out Pascal's triangle down to the 7th row.

9. Remove parentheses and simplify (x + y)5

10. Compute 25C5

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