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Formulas and Properties
Evaluate the Log
Solving with Properties
Single Quantities
From Exponential to Log
100

log (AB)=

log(A)+log(B)

100

log(4)4=

What is 1

100
Log (4n)
What is the Log 4 + Log n
100
Log X + Log 5
What is Log (5X)
100
2^6=64
Log(2)64=6
200

Log(x/t)=

Log(x)-Log(t)

200

log(5)1=


What is 0

200
Log5(X/25)
What is log5(X) - log5(25)
200
Log 8 - Log X
What is Log (8/X)
200
4^1=4
log(4)4=1
300

log A/B=

What is log A - log B

300
Log(2)64=
What is 6
300
Log2 (x/6)
What is Log2 x - Log2 6
300
Log(2)10^3
What is 3Log(2)10
300
5^0=1
log(5)1=0
400

Log(u^e)=

eLog(u)

400
log(5).04=
What is -2
400
Log 7(XY)/Z)
What is (Log7x + Log7 y) - Log7 z
400
Log(4)8 - Log(4)22
What is Log(4)8/22
400
5^-2=.04
log(5).04=-2
500

Expand the log: log3(10*100)=

What is log3(10)+log3(100)

500

log(8)4+log(8)16

What is Log(8)64

500
Log (X)^4
What is 4*Log X
500
Log(1)67+Log(1)66
What is Log(1)67*66
500
3^x=81
log(3)81=x