1. Express as a single logarithms and if possible simplify.

loga 75 + loga 2

½ log n + 3 log m

2. Express in terms of sums and differences of logarithms In 2 (In 2 divided by 3x3y)
   3x3y
3. You have a choice between a base salary of $1800 per month or a base salary of $1600 plus a commission of 4% on your sales for a month. For what amount of sales will the two options be the same?
4. A student borrowed money from a friend at 5% simple interest to help pay for college tuition. At the end of the year the student owed a total of $1365 total of principle and interest. How much did the student borrow?
5. Suppose that $4100 is invested at 2.3 % compounded quarterly. How much will be in the account after 6 years?
   Answer is $ ____
6. Convert 72.18° to DMS notation
7. Convert to radian measure. Leave the answer in terms of π.
   200°
8. Convert to degree measure. Round the answer to 2 decimal points.
   2π/7

-3π/4

9. One gear wheel turns another with the teeth being on the rims. The wheels have 40 cm and 50 cm radii and the smaller wheel rotates at 20 rpm. Find the angular speed of the larger wheel in radians per second.
10. Given that loga 2 ≈ 0.301, loga 7 ≈ 0.845, and loga 11 ≈ 1.041, find the following, if possible.
    loga 2/11

loga 98

11. The average depth of the Pacific Ocean is 14,040 feet, and its depth is 8890 feet less than
    the sum of the average depths of the Atlantic and Indian Oceans. The average depth of the Indian
    Ocean is 272 feet less than four-fifths of the average depth of the Atlantic Ocean. Find the average depth of the Indian Ocean.
12. Ben’s Moving charges $100 plus $30 per hour to move a household across town. Pat’s Movers charges $55 per hour. For what length of time does it cost less to hire Pat’s Movers?
13. The length of a rectangular poster is 1 ft more than the width, and a diagonal of the poster is 5 ft. Find the length and the width.