Properties of Logarithms

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

The common logarithm has what base?

• 10

• 0

• e

• -e

Write log_b(xy) 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

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

• Product property

• Quotient property
  

• Power property

• Change of Base Property

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

log 12 - log 4 = log 8

• True

• False