Identifying Properties of Logarithms

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

Condense

• A

• B

• C

• D

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Use the properties of logarithms to retwrite

• A

• B

• C

• D

Expand

• A

• B

• C

• D

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

Condense

• log₈(a¹⁸/b³)

• log₈(a¹⁸b³)

• log₈(a/b³)

• 15log₈(a/b³)

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

• log8+logx-logy-logz

• log8+logx-logy+logz

• log(8x)-log(yz)

• 8logx-ylogz