Graphing Logs
Expanding/Condensing
Solving Log Equations
Converting/Evaluating Logs
ANYTHING GOES
100

To graph the function below, what exponential equation do you input into the calculator?


f(x)=log_3(x)



f(x)=3^x or y=3^x

100

Condense:


logx+logy


log(xy)

100

log_2(6x-15)=log_2(41-2x)

x=7
100
Convert to log form:

2^x=8

log_2(8)=x

100
This is the sound a doggy makes...
What is woof, bark, bow wow, ruff, etc.
200
What is the range of every logarithmic function?
All real numbers.
200

Expand:


log_2(a)-log_2(b)


log_2(a/b)

200
Solve for x:

log(k^2-1)=log(24)-1/2log(9)

k=3 k=-3
200
Convert to exponential form:

log_(1/3)(x+2)=4

(1/3)^4=(x+2)

200
What highly anticipated Marvel movie comes out this weekend?
Avengers Infinity Wars.
300
Identify the vertical and horizontal shift of the following logarithmic function:

f(x)=log_(1/2) (x+2)+1

left 2 units

up one unit

300

Condense the expression below into a single logarithm. Write your answer in simplest form.


7log(3)-1/2log(81)




log(3^7/9)=log(243)

300
Solve for x:

log(x)+log(x-15)=2

x=20
300
Evaluate:

log_6(36)

2
300
What is marmalade made from?
 (citrus fruit)
400
What is an "asymptote"?
The (vertical) line that the log function never touches.
400
Expand the logarithm:

log_2 sqrt(x^12y)

1/2(12logx+logy)

400
Solve for x: 

log_4(x+5)=3

x=59
400
Evaluate (Round to the nearest tenth)

log_37(26.2)

0.9
400
Name the 6th planet from the sun.
Saturn
500
If you graph the following function, what would be the asymptote?

y=log_2x

x=0
500
Condense:

1/2(2logx-(3logy+2logz))

log sqrt(x^2/(x^3y^2))

500
Jack bought a new car in 2014 for $28,000. If the value of the car decreases by 14% each year determine the year the car will have a value of $5,000.

t=11.42

In the year 2025.
500
What is greater?

log_(1/2)(1) or ln(e)

ln(e)
500
What musician tragically passed away this weekend at the age of 28.
Avicii
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