3.3b Properties of Logs

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

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)

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Use the properties of logarithms to retwrite

• A

• B

• C

• D

• log 10

• log 21

• log 3/7

• log 3/log 7

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5

• log 10

• log 6

• log 24

• log 144