Expand and Condense Logarithmic Functions

• log (xy³)

• log (x⁶ − y³)

• log (x⁶ + y³)

Expand

• 6log₈v-2log₈u

• 6log₈u-2log₈v

• 3log₈u-2log₈v

• 6log₈u+2log₈v

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Use multiple log properties to write as a single log: 3log₂x - log₂y + log₂z

• no solution
• only 6
• 6 and -2
• 3

Expand

• A

• B

• C

• D

Expand

• A

• B

• C

• D

Condense

• A

• B

• C

• D

Expand.

• log x + log y + log z

• log x + log y + log z

• log x - log y - log z

• log x + log y + log z