Expand and Condense Logarithmic Functions

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

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

• log₂(x/(yz))

• log₂(x³yz)

• log₂(x³z/y)

• log₂(x³/(yz))

Expand

• log₇x + log₇y + 4log₇z

• 4log₇x + 4log₇y + 4log₇z

• log₇x - log₇y - 4log₇z

• 4log₇x - 4log₇y - 4log₇z

Expand

• 6log₈v-2log₈u

• 6log₈u-2log₈v

• 3log₈u-2log₈v

• 6log₈u+2log₈v

Expand the logarithm.

• A

• B

• C

• D

Condense

Expand

Expand

• 4log₄u - 16log₄v

• 4logu + 16logv

• 4logu - 4logv

• 4logu / 16logv