Logarithm Properties

Expand

• A

• B

• C

• D

Expand the Logarithm

• A

• B

• C

• D

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)

• 5 log₅ u - 15 log₅ v 

• log₅u + log₅v +3 log₅w

• 3 log₅u + 5 log₅v

Expand

• A

• B

• C

• D

Mathematical Equivalence

ON

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Find the equivalent logarithmic expression:

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Expand

• log₈ x + log₈ y + log₈ z

• 5log₈ x + 5log₈ y + 5log₈ z

• log₈ xy + 5log₈ z

• log₈ x + log₈ y + 5log₈ z

Expand

• 5log₅ a - 6log₅ b

• 5log₅ a - 30log₅ b

• 5log₅ a + 30log₅ b

• 30log₅ b - 5log₅ a