Unit 5

Exponential Functions

100

 Is 3^x increase or decrease 

Answer: Increase

200

What is the asym for (1/3)^x

Answer: 0

300

What is the Asym for 2x+5?

Answer: 5

400

Is -2^x+3 increase or decrease?

Answer: decrease

500

What is the Asym for 2x-1?

Answer: -1

Solving Exponential

100

Solve using a common base? 125^y=25

Answer: y=2/3

200

Solve using common base? 16^3x=8^x+2

Answer: x=2/3

300

Solve using common base? 4^3x= 8^x-1

Answer: x= -1

400

Solve using common base? 81^2x+5= (1/3)^2x

Answer: x=-2

500

Solve using common base? 8^2a-1= 32^2a+1

Answer: a=-2

Logs

100

What is the exponeneital form for Logs₆ 216=3?

B=6              Answer: 6³=216

X=3

A=216 

200

What is the Exponential Form Log₂16=4

B=2              Answer: 2⁴⁼¹⁶

X=4

A=16

300

What is the Exponential form for Log₃27?

B=3     Answer:x=9

X=9

A=27

400

What is the Exponential form for Logs₁₂1?

B=12         Answer: x=12

X=12

A=1

500

What is the Exponential form for Log₃243?

B=3          Answer: x=81

X=81

A=243

Property of Logs

100

Simplify 7 x log₄ U-3 x log₄^{v^2}

Answer: Log₄ (u⁷/u⁶)

200

Simpllify Log₃ 4+log₃ y + 1/2 x log₃ 49

Answer: log₃ (28y)

300

Simplifty 1/3 (log₅ 8+ log₅ 27)- log 3

Answer: log (2)/ log (5)

400

Simplify log₆ (xy2⁴) 

Answer: log₆ (x) +log₆ (v) + 4 log₆ (z)

500

Simplifty log₄ (a⁹/b) 

Answer: 9 log₄ (9) - log₄ (b)

Exponential Functions Part 2

100

What is the Y-int for 2x?

Answer:(0,1)

200

What is the x-int for -3x?

Answer:(0,0)

300

Is (2/3)^x Increase or decrease?

Answer: Increase

400

What is the Asym for 3^x-8?

Answer: -8

500

Is 5 x 2^x-6 growth or decay?

Answer: Growth