Algebra 2 Unit 5: Logarithmic Functions

Logarithmic Functions Review Sheet #2

1. If the graph of is reflected across the line then the resulting curve has an Equation of

(1) (3)

(2) (4)

2. The domain of in the real number is

(1) (3)

(2) (4)

3. Which of the following values of x is not in the domain of

(1) -3 (3) 5

(2) 0 (4) 4

4. The can be written as

(1) (3)

(2) (4)

5. Which of the following is equivalent to? (1) (3) (2) (4)

6. The difference is equal to

(1) -2 (3)

(2) (4) 4

7. If and then can be written in terms of p and q as (Hint: write 200 as a product involving 5 and 2.)

(1)

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Half of the initial amount of remain. Round your answer to the nearest tenth Of a year. Only an algebraic solution is Acceptable

11. The logarithmic expression can be rewritten as

(1) (3)

(2) (4)

12. Flu is spreading exponentially at a school. The number of new flu patients can be modeled Using the equation where d represents the number of days since 10 students Had the flu.

(a) How many days will it take for the number of new flu patients to equal 50? Determine your answer algebraically using the natural logarithm. Round your answer to the nearest day.

(b) Find the average rate of change of F over the first three weeks, i.e. Show the calculation that leads to your answer. Give proper units and round your answer to the nearest tenth. What is the physical interpretation of your answer?

13. An investment of $500 is made at 2.8% nominal interest compounded quarterly.

(a) Write an equation that models the amount A the investment is worth t-years after the principal has been invested.

(b) How much is the investment worth after 10 years? Show how you arrived at your