Properties of Logarithms Review

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

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

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

• A

• B

• C

• D

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Use the properties of logarithms to rewrite as the sum of two logarithms: \log55

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5

Use the properties of logarithms to rewrite as the difference of two logs: \log_545