Properties of Logarithms

Formulas and Properties

100

log (AB)=

log(A) + log(B)

200

log(1) = ?

0

300

log A/B=

What is log A - log B

400

log (u)^e=

elog(u)

500

log(10*100)=

What is log(10)+log(100)

Solving Logarithms

100

Solve:

log₅(x) = 3

What is 125?

200

Solve:

log₂(2x+1) = 3

What is 7/2?

300

Solve:

lne^-2x=8

What is -4

400

Solve:

log₂8^x=-3

What is -1

500

Solve:

4e^x+1=5

-.78

Expanding

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 (X)⁴

What is 4*Log X

Condensing

100

Log X + Log 5

What is Log (5X)

200

Log 8 - Log X

What is Log (8/X)

300

Log₂10³

What is 3Log₂10

400

Log₄8 - Log₄22

What is Log₄4/11

500

Log₁67+Log₁66

What is Log₁4422

From Exponential to Log

100

2⁶=64

Log₂64=6

200

4¹=4

log₄4=1

300

5⁰=1

log₅1=0

400

5^-2=.04

log₅.04=-2

500

3^x=81

log₃81=x