Logarithms/Exponentials Test Review 2026 Unit 2

Exponentials

100

What would you get when you raise a base to the power of 0? 

1

200

Can the base of an exponential be negative? Why or why not? 

It cannot be negative, because it would create a discrete graph. 

300

What would be the domain and range for the following function: 3^x - 4 ? 

D: (-inf, + inf) 

R: (-3, +inf) 

400

Solve the following for x: 4^x = 65536

x = 8

500

Raising a number/variable to the power of 1/2 is equivalent to what other operation? 

Square rooting the number/variable. 

Logarithmic Functions

100

Convert the following exponential into a logarithm. 

4⁵=1024

log₄1024 = 5

200

Convert the following logarithm into an exponential

log₃6561=8

3⁸=6561

300

What are the two special forms of logarithms and what are their bases?

Common logarithm- base of 10

Natural logarithm- base of e

400

Solve for x. (Math-Alpha-Math) 

log₈72=x

x= 2.06

500

What is the key relationship between exponentials and logarithms? 

They are inverses! 

Solving Logs and Exp

100

Solve for x: 2^x+4= 1024

x=6

200

6log₃(8x+1)=24

x=10

300

6^x * 6^2x-4 = 6¹⁷

x=7

400

4^x * 64^2x = 4⁶³

x=9

500

Daily Double: 

How many years has Ms. Ohayon been teaching either in general or at Longleaf?

3 years, this is year 4

Random

100

How many teams are there in the MLB? 

30

200

How many wives did King Henry VIII have and what were their names? 

6 

Catherine of Aragon-Divorced

Anne Boleyn- Beheaded

Jane Seymour- Died

Anne of Cleeves- Divorced

Catherine Howard- Beheaded

Catherine Parr- Survived

300

What do you call an animal that eats a variety of other organisms, including plants, animals and fungi?

Omnivore

400

Can you name 10 Western European countries? 

See if student team can guess 10 countries 

500

Stefani Germanotta is a famous singer who is more popularly known as.... ? 

Lady Gaga