Easy Properties of Logarithms

Condense

• A
• B
• C
• D

Expand

• A
• B
• C
• D

Condense

• A
• B
• C
• D

Condense

• A

• B

• C

• D

Condense into a single logarithm.

logx + logy + 3logz

• log xyz³
• log (xy/z³)
• log x + log y + log z³
• log x³y³z³

Condense

• log₈ (x⁶)/log₈ (y³)
• log₈ (x⁶/y³)
• log₈ (x/y³)
• log₈ (x⁶y³)

Expand

• A
• B
• C
• D

Expand

• log₈ x + log₈ y + log₈ z
• 5log₈ x + 5log₈ y + 5log₈ z
• log₈ xy + 5log₈ z
• log₈ x + log₈ y + 5log₈ z

Expand the Logarithm

• A

• B

• C

• D