Exponents and Logarithms

Exponent Properties

100

Simplify:

x⁵y²*x³y⁶

x⁸y⁸

200

Simplify: 3n²*2n³

6n⁵

300

Simplify:

z^-5/z^-4

1/z

400

-6y⁰*(6y)⁰

-6

500

(x^-3/y^-4)^-2

x⁶/y⁸

Solving with Exponents

100

Solve for x:

6^x+1=6^2x

x=1

200

5^3x+1=25^2x-3

x=7

300

81^4x-1=243^-2x+4

x=12/13

400

4^-2x+5=8^x-1

x=13/7

500

4^3x-2=(1/32)^-4x+6

x=13/7

Evaluating Logarithms

100

Evaluate the logarithm:

log₂4

2

200

log₃1/27

-3

300

log₂32

5

400

log₆₄4

1/3

500

Evaluate:

log₉243

5/2

Properties of Logarithms

100

Condense and evaluate:

log₅25+log₅5

3

200

Condense and Evaluate:

log₃81²

8

300

Expand:

log₂₍₍xy)/z)

log₂x+log₂y-log₂z

400

Condense:

log₃a+log₄b-log₃c+log₄d

log₃a/c+log₄bd

500

Condense:

log (7x²-31x-20) - log (x-5)

log (7x+4)

Random Miss H facts

100

Where did Miss H go to college?

**Bonus for the Mascot**

Cal Poly San Luis Obispo

Mustangs

200

When is Miss H's birthday month?

**Bonus points for day**

April

300

What color(s) is Miss H's cat?

Black and white

400

What is/are Miss H's favorite animal(s)?

Penguin and Turtle

500

How many countries has Miss H been to?

14