properties of log

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Condense

• A

• B

• C

• D

Condense

• A

• B

• C

• D

Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

Expand.

• 1/3 log x + log y + log z

• 1/3 log x + 1/3 log y + 1/3 log z

• 1/3 log x - 1/3 log y - 1/3 log z

• 3 log x + 3 log y + 3 log z

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

• log₅69

• log₅56

• log₅162

• log₅98

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98

• log 78

• log 56

• log 45

Condense

• A

• B

• C

• D

The common logarithm has what base?

• 10

• 0

• e

• -e

• log (a⁵ + b²⁵)

• log (a⁵ − b²⁵)

• log (ab²⁵)

• log (a⁵/b²⁵)