Logarithm

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

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

• log 10

• log 6

• log 24

• log 144

BONUS: Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Rewrite as a single logarithm:

• log 10

• log 21

• log 3/7

• log 3/log 7

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