Expand and Condense Log Practice

Expand

• 6log₈v-2log₈u

• 6log₈u-2log₈v

• 3log₈u-2log₈v

• 6log₈u+2log₈v

Expand

• log₈x+log₈y+log₈z

• 5log₈x+5log₈y+5log₈z

• log₈xy+5log₈z

• log₈x+log₈y+5log₈z

Condense

• 15log₈u + 3log₈v

• 15log₈u - 3log₈v

• log₈(u¹⁵/v³)

• log₈u¹⁵v³

Write the expression as a single logarithm. Then simplify if possible.

• log₅69

• log₅56

• log₅162

• log₅98

• 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: 3log_2x - log_2y + log_2z

• no solution
• only 6
• 6 and -2
• 3