Properties of Logarithms

Formulas and Properties

100

Name the property for log (mn)=

What is Product property

200

Name the property for log_b(m/n)=

What is Quotient property

300

Expand: log A/B=

(Rewrite the log)

What is log A - log B

400

Name the property 

log_b mⁿ=

What is Power property

500

Expand: log₃(10*100)=

What is log₃(10)+log₃(100)

Evaluate the Log

100

log₄4=

What is 1

200

log₅1=

What is 0

300

Log₂64=

What is 6

400

log₅.04=

What is -2

500

log₈4*16

What is Log₈64

Expand

100

Log (4n)

What is the Log 4 + Log n

200

Log₅(X/25)

What is log₅(X) - log₅(25)

300

Log₂ (x/6)

What is Log₂ x - Log₂ 6

400

Log ₇(XY/Z)

What is Log₇x + Log₇ y - Log₇ z

500

Log X⁴

What is 4*Log X

Condense

100

Log X + Log 5

What is Log (5X)

200

Log 8 - Log X

What is Log (8/X)

300

3Log₂ 10

What is Log₂ 1000

400

Log₄ 8 - Log₄ 22

What is Log₄ 4/11

500

Log₂ 7+Log₂ 6

What is Log₂ 42

Rewrite Exponential to Log

100

2⁶=64

Log₂ 64=6

200

4¹=4

log₄ 4=1

300

5⁰=1

log₅1=0

400

5^-2=.04

log₅ .04=-2

500

3^x=81

log₃ 81=x