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

logb u^e=

What is Power property

500

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

Solving with Properties

100

Log (4n)

What is the Log 4 + Log n

200

Log₅(X/25)

What is log₅(X) - log₅(25)

300

2*Log₂(x/6)

What is Log₂(x²) - Log₂(6²)

400

Log_{7 (}(XY)/Z)

What is (Log₇x + Log₇y) - Log₇z

500

Log (X)^4

What is 4*Log X

Change of Base

100

What is log_4.5200

3.5226

200

log₄5?

1.161

300

log₇8.7

What is 1.112

400

log₃189

What is 4.771

500

ln 14.1

What is 2.646

From Exponential to Log

100

2^6=64

Log(2)64=6

200

4^1=4

log(4)4=1

300

5^0=1

log(5)1=0

400

5^-2=.04

log(5).04=-2

500

3^x=81

log(3)81=x