Logarithmic Functions Test
Euniqua Harris Logarithmic Functions Test
1. Solve for x: 3ˣ = 9³/²
⅔
2
3
3/2
2. An equivalent expression for aˣ = y is
logₓa = y
logₐx = y
logₐy = x
logᵧa = x
3. Solve the logarithm: log₈64=
4. Simplify (condense) the following expression:
5. Expand the following:
6. Expand the following expression
7. You buy a car for $8000 the depreciates
at a rate of 11% a year. How much is the car
worth after 5 years?
A. $5689.12
B. $4467.25
C. $3532.75
D. $9000.52
8. Solve the following:
A. -4
B. 5
C. 6
D. 8
9. Solve
10. On a child’s first day of kindergarten (5 yo), a deposit of $7,500 is made in a trust fund that pays 3.75% interest, compounded continuously. What is the balance in this account on the child’s 13th birthday?
11. A colony of bacteria grows according to the law of uninhibited growth according to the function
N(t)=78e⁰.⁰²⁵ᵗ where N is measured in grams and t is measured in days. How long will it take for the population to reach 530 grams?
12. Select the following answers below
13. What is the domain of the following function which is also shown in the graph?
y=ln(x+2)
a. All Real Numbers
b. x > -2
d. x>-e
14. What are the transformations on the following function,
15. Allison received an inheritance of $15,000. She invested it in a GIC that earns 4.5% per year, compounded annually. She would like her investment to accumulate to $25,000, which she can use as a down payment on a house. The table below shows Allison’s balance over the first 5 years.
Determine the equation of the logarithmic function that models the data.
16. Use the equation from question 15 to determine the amount of time it will take Allison to reach her goal of $25,000.
