Unit 6 Review Exponents and Logarithms

Graphing

100

What is the shift (h and k) of f(x) = 3^x-5 +16?

h = 5, shifts right 5. 

k = 16, shifts up 16.

200

Pick Another Team!

Those Two Teams Switch Points!

300

What type of graph is f(x) = 4(1/3)^x? 

Exponential Decay

400

What is the asymptote for y = 8*2^(x+9) - 5?

y = -5

500

What is the domain and range of f(x) = log_b x?

Domain: x > 0

Range: All Real Numbers

Properties

100

What is the conversion of log_by = x ?

b^x = y

200

What is the change of base for log base y of x ?

log y / log x

300

Simplify ln(u/v)

ln u - ln v

400

What is the power property for log?

log_a uⁿ = n log_a u

500

What is the inverse property for log?

log_bb^x = b^log_b^x = x

Solving Log

100

Solve for x!!!

log_x64 = 2

x = 8

200

Use the change of base formula to solve:

log₉27

= 1.5

300

Find exact value:

3^log₃⁴+log₅25

Simplifies to 4 + 2

= 6

400

Solve for x!!!

log₅(x²+7x-5) = log₅(6x+1)

x = -3, 2

500

Pick Another Team!!

Chosen Team Loses -300 Points Automatically...

Solving Exponential

100

2^x = 512

Solve for x!

x = 9

200

Rewrite this equation from logarithmic to exponential form.

log₂ 1/4 = -2

2^-2 = 1/4

300

8^3x+4 = 64^2x-4

Solve for x.

x=12

400

5^x = 125^x-3

^{Solve for x!!}

x = 9/2 or 4.5

500

4e^5x-7=78

Solve for x to the nearest hundredth!!!

x = 1.99

Random

100

What did SpongeBob have to write an essay on in one episode?

Things Not To Do At A Stoplight In No Less Than 800 Words!

200

What is the 69th element on the Periodic Table?

Thulium

300

What war did "The Battle Of The Bulge" take place?

World War 2

400

Which animal has no lungs?

(HINT: You know this animal well!!!)

Ant

500

Which country did Russia try selling Alaska to before the United States?

Liechtenstein