Logarithm Equivalence

Express as a single logarithm or as a sum/difference of different logarithms.

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

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5

• log 10

• log 6

• log 24

• log 144

log 12 - log 4 = log 8

• True

• False