Topic 5 - Exponential And Logarithmic Functions Jeopardy Template

Flip the Script

Log It In

Graph It Like Its Hot

Log Laws in Action

Solve for X-treme

100

Convert to an logarithmic function:

2³= 8

What is log₂8 =3?

100

Evaluate:

log₂8

What is x = 3 ?

2^x=8

2^x=2³

x = 3

100

What is the parent function of the following:

f(x)= log₄(x+2)-3

What is f(x)=log₄(x)?

100

Expand:

log₃(5x)

What is log₃5+log₃x ?

100

Solve:

log₄(2x+4)=3

What is x=30?

200

Convert to a exponential equation:

log₅25=2

What is 5²=25?

200

Evaluate:

log₉1

What is x =0?

9^x=1

200

Describe the transformation:

g(x) = log₂(x+4) - 5

What is left 4 down 5?

200

Condense:

2log₂a+3log₂b

What is log₂a²b³?

200

Solve:

log(4k-5) = log(2k-1)

What is k =2?

4k-5=2k-1

2k=4

k=2

300

Convert to a logarithmic equation:

10^x=1000

what is log 1000 = x?

300

Evaluate:

log₅(1/125)

what is x =-3 ?

5^x= (1/125)

5^x=5^-³

^x=-3

300

Given: g(x) = log3(x+2) - 4

What is the domain?

What is the range?

What is the asymptote?

What is

Domain: (-2,∞ )

Range: (-∞,∞ )

Asymptote: x = -2

300

Expand:

ln(2x³/y²)

ln2+3lnx-2lny

300

Solve for x:

4^x+1=8^x-2

What is x=8?

400

Convert to an exponential equation:

ln 7 = x

What is e^x=7 ?

400

Evaluate:

lne⁴

What is x=4?

lne⁴=x

e^x=e⁴

^x=4

400

Describe the transformation:

f(x) = -1/2log₂(x+1)-5

What is

reflect across x axis

Compress by 1/2

left 1

down 5

400

Condense:

log₇x-log₇4-log₇y

What is

log₇(x / 4y) ?

400

Solve: log₂(2x)+log₂(x-6)=5

What is x = 8 is a solution, x = -2 is extraneous?

log₂(2x)+log₂(x-6)=5

2x²-12x-32=0

2(x²-6x-16)=0

2(x-8)(x+2)=0

500

Convert to a logarithmic equation:

e^3x= 15

What is ln15=3x?

500

Evaluate:

log₂₄₃3

What is x = 1/5 ?

243^x=3

(3⁵)^x = 3¹

^{5x = 1}

^{x = 1/5}

500

Graph the following function:

f(x) = log₅(x-1)+3

_{HINT (MAKE A TABLE)}

*check students work*

500

Expand:

log₄(3x³y²/z)

log₄3+3log₄x+2log₄y-log₄z

500

Solve(round to the nearest thousandth):

2^x+2- 5= 20

What is x = 2.644 ?