Logarithm Applications

Use the change of base formula and your calculator to approximate the log.

• 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

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Use the properties of logarithms to retwrite

• A

• B

• C

• D

BONUS: Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

log 12 - log 4 = log 8

• True

• False