Properties of Logarithms

Condense

• A

• B

• C

• D

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

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

Expand

• 6log₈v-2log₈u

• 6log₈u-2log₈v

• 3log₈u-2log₈v

• 6log₈u+2log₈v

Expand

• A

• B

• C

• D

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

• add

• subtract

• multiply

• divide

When you have a log expression with a number in front of it, we really need to ___________ .

• make the number an exponent at the end of the log expression.

• multiply it with the log expression.

• add it to the log expression.

• subtract it from the log expression.