Properties of Logarithms

Formulas and Properties

100

log (AB)=

What is Product property

200

Log_b(x/t)=

What is Quotient property

300

log A/B=

What is log A - log B

400

log_bu^e=

What is Power property

500

log₃(10*100)=

What is log₃(10)+log₃(100)

Evaluate the Log

100

log₄(4)=

What is 1

200

log₅(1)=

What is 0

300

Log₂(64)=

What is 6

400

log₅(.04)=

What is -2

500

log₂8+log₂16

What is 7

Solving with Properties

100

Log (4n)

What is the Log 4 + Log n

200

Log₅(X/25)

What is log₅(X) - log₅(25)

300

Log₂(x²/6)

What is 2Log₂x – Log₂6

400

Log₇(X²Y³)/Z)

What is (2Log₇x + 3Log₇ y) - Log₇z

500

0.5ln(x) + 0.5ln(y) – 3lnz

What is ln(√(xy)/z³)

Single Quantities

100

Log X + Log 5

What is Log (5X)

200

Log 8 - Log X

What is Log (8/X)

300

Log₂(10^3)

What is 3Log₂(10)

400

Log₄(8) - Log₄(22)

What is Log₄(8/22)

500

Log₁(67)+Log₁(66)

What is Log₁(67*66)

From Exponential to Log

100

2⁶=64

Log₂(64)=6

200

4¹=4

log₄(4)=1

300

5⁰=1

log₅(1)=0

400

5^-2=.04

log₅(.04)=-2

500

3^x=81

log₃(81)=x