Log Properties Change of Base

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Write log_b(x/y) 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

Use the change of base property to rewrite as a single logarithm: \frac{\log15}{\log3}

BONUS: Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

Expand the log: log_b(x/y)

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Write as a single log: 6logx-3logy

• log (xy³)

• log (x⁶ − y³)

• log (x⁶/y³)

• log (x⁶ + y³)