Honors Algebra 2 Properties of Logarithms

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

log₃3⁴

• 3

• 4

• 1

• 0

• 0
• 1
• -3
• 3

Evaluate the following logarithm:

log₁₂1

• 1

• 0

• -1

• ¹/₂

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:

• 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 10

• log 6

• log 24

• log 144