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Name:____________________________ Date:____________________ Band:________

Algebra II

Logarithm Basics Quiz

PART I: NO CALCULATOR. Show all work!

1. Draw . What is the domain and range of the function?

Write the base function and transformations in the order they must be performed below.

Base function:

Transformations:

Domain:

Range:

2

2. Simplify:

(a)

(b) (c)

(d)

(e) (f)

4. Expand into the sum and difference of logarithms:

(a)

(b)

3

5. Combine into a single logarithm:

6. Are the following statements true or false: ____ (a)

____ (b)

____ (c)

____ (d)

7. Explain why this is a true statement:

8. Someone comes up to you and says that they’ve broken the laws of mathematics, and that they’ve entered in their calculator and got a real answer. You say to them that they’re full of hogwash. You go on to

explain that they must be mistaken because…

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Name:____________________________ Date:________________________ Band:________

Algebra II | Packer Collegiate Institute

Logarithm Basics Quiz

PART II: YES CALCULATOR. Show all work!

9. An object with some organic material in it. The organic material lost 30% of the amount of carbon-14 from the amount it had when it died. How old it this object? (Write down your y1 and y2 and window from your calculator.) Y1= Xmin: Xmax: Xscl:

Y2= Ymin: Ymax: Yscl:

10. Solve the following logarithm and exponent equations algebraically. I’m letting you use your calculator for these merely to CHECK your work. If your answer is , leave it like that… in exact form.

Be sure to check your answers if you need to, and show your work for those problems.

(a)

(b)

5

(c)

(d)

(e) (f)

6

(g) (h)

(i) EXTRA CREDIT:

Solve Problem 9 exactly, using logarithms.