Logarithms Afterview

Logarithms Afterview

What you need to KNOW

UNDERSTAND &

BE ABLE TO DO

you will want to get some paper and a pencil

I can identify the parts of the a logarithm

and say it correctly

​Read out loud the words in quotes

Multiple Choice

$$\log_5125=3$$  is said

• log base 5 of 125 is 3

• log base 125 of 3 is 5

• log base 3 of 5 is 125

• all of them are the same

Multiple Choice

$$\log_5125=3$$  

5 is

• the argument

• the base

• exponent

• all of them are the same

Multiple Choice

 $\log_5125=3$  

3 is

• the argument

• the base

• exponent

• all of them are the same

Multiple Choice

 $\log_5125=3$  

125 is

• the argument

• the base

• exponent

• all of them are the same

I can rewrite from exponent form to logarithm form

& logarithm for to exponent form

Multiple Choice

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Multiple Choice

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Multiple Choice

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Multiple Choice

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Multiple Choice

To evaluate a logarithm statement log₉81,

you think "81 is 9 to the _______ power".

• True, and it's 2

• False

I can evaluate logarithms

in other words I can find the values that make the statement true

Multiple Choice

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Multiple Choice

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Multiple Choice

Evaluate log₄1

• 1
• 0
• 4
• undefined

Multiple Choice

$$\log_9\ \frac{1}{3}=$$  

• $$-\frac{1}{2}$$  

• $$-2$$  

• $$-3$$  

• $$-\frac{1}{3}$$  

Multiple Choice

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Multiple Choice

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5

Multiple Choice

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Multiple Choice

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Multiple Choice

$$\log_5\ 125=$$  

• $$3$$  

• $$5$$

• $$-3$$  

• $$-5$$  

I can solve logarithmic and exponential equation by inspection.

I can figure it out by looking at it

Multiple Choice

Solve for x:

log₂(x+3)=4

• 16

• 13

• 3

• 10

• not sure where to start

Multiple Choice

log₈(4x+4)=2

• 15

• 12

• 10

• 3

• not sure where to start

Multiple Choice

log_x1000=3

• 1

• 10

• 30

• 3

• not sure where to start

Multiple Choice

$$\log_216=x$$  

• $$x=2$$  

• $$x=8$$  

• $$x=4$$  

• $$x=-3$$  

• not sure where to start

Multiple Choice

4^{3x + 5} = 4²

• -5/3

• -1

• -3/2

• 2/3

• not sure where to start

Multiple Choice

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Multiple Choice

3^{2x – 6} = 81

• x = log 4

• x = 5

• x = 4

• x = -1

Multiple Choice

Solve for x:

log₄ x = 3

• 4

• 12

• 32

• 64

• not sure where to start

Poll

How I feel right now.