Logarithm Jeopardy!

Change the Form

100

log ₂64 = 6

2^{6 =} 64

200

log ₄ 1/64 = -3

4^-3 = 1/64

300

2⁵ = 32

log₂32 = 5

400

log 100 = 2

10² = 100

500

3^-4 = 1/81

log₃ 1/81 = -4

Solve for X

100

7776=6^x

x = 5

200

2^x+3=32

x = 2

300

3^x+2=81^x

X = 2/3

400

5^x+2=(1/625)

X = -6

500

6^2x+1=(1/216)^x+2

x = - 7/5

Transformation

100

Describe the transformation(s) given the following function: h(x)=log(x+4)-2

shifted left 4, down2

200

Describe the transformation(s) given the following function: h(x)=-log(x)

reflected across x-axis

300

Describe the transformation(s) given the following function: h(x)=1/2 log(x-1)

compressed by a factor of 1/2, shifted right 1

400

Give an example of a log equation with an asymptote that passes through x=3

f(x)=log(x-3)

500

Give an example of a log equation with an asymptote that passes through x=-4, vertically compressed by a factor of 1/2

f(x)=1/2 log(x+4)

Change of Base

100

log₂ 40

5.3219

200

log₄125

3.4829

300

log₇81

2.2583

400

log₅ 1/400

-3.7227

500

log₄ 250

3.9829

Random

100

When do you have negative exponents?

When a is a fraction.

200

What is the relationship between exponential and logarithmic function?

Inverse

300

In log, if there is no # for a base, what # is it?

10

400

What do you call a line that continually approaches a given curve but does not meet it at any finite distance?

Asymptote

500

Where can you pick up Math3 note packet for Learning Target 3 if you cannot print them out at home?

Door U