Exponents and Logs (:

Exponent Rulez

100

2x³ • 3x⁴

6x⁷

200

327⁰

1

300

(2x⁴)⁵

32x²⁰

400

x^(-1/2)

1/sqrt(x)

500

(write without negative exponents)

(x³y^-4)^-5

(y²⁰) / (x¹⁵)

Converting Logs & Properties

100

Convert to Exponential Form:

log₅125 = x

5^x = 125

200

Condense to a single log:

2log(x) + log(y)

log(x²•y)

300

Evaluate:

log₂4 + log₂8

5

400

Evaluate:

log (1/100)

-2

500

Condense, then evaluate:

log₁₆28 - log₁₆7

(1/2)

Solving

100

Solve: 

log₃(9x)=4

x=9

200

Solve:

3•10^x-4 = 123

x=5.613

300

Solve:

4•2^4x+3 = 32

x = 0

400

Solve:

log₃(v² - 14) = log₃(-6v + 2)

v = -8

500

Solve:

ln(x+3) - ln(4) = 5

x = 590.653

Semester 1 Stuff

100

What is i ?

sqrt(-1)

200

Solve:

2x² - 8 = 24

x = +/- 4

300

Factor completely:

3x² - 6x - 24

3(x-6)(x+4)

400

What is the quadratic formula?

x=(-b +/- sqrt(b²-4ac)) / 2a

500

Simplify:

(4 + 3i)(4 - 3i)

25

?????

100

In the movie Toy Story, who do all of the toys belong to?

Andy

200

List the following apps in the order in which they were released:

Snapchat, Twitter, Vine, Instagram

Twitter, Instagram, Snapchat, Vine

300

How many times would you have to fold a piece of paper to reach the moon? (if you could)

42!

400

Mr. Smith has 4 daughters. Each daughter has 2 brothers. How many children does Mr. Smith have?

6

500

Name 2 mathematicians.

(I don't count, you don't count!)

**** many answers