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

The product rule


log_b(MN)=log_b(M)+log_b(N)

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

The quotient rule

log_b(M/N)=log_b(M)-log_b(N)

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

Who is the most followed musical celebrity on Instagram?

Ariana Grande.

300


log_b(M^p)=p*log_b(M)

The product property

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

Logarithmic properties are related to the properties of which other function group?

Exponents/Exponential functions

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)

log37(26.2)

0.9

400

Name the 6th planet from the sun.

Saturn

500

Which property would be used to condense this function?

log_3(3x)+log_3(2y)

Product property

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 is the name of the tallest mountain in the world? 

Mount Everest
M
e
n
u