Quiz on Using Properties of Logarithms

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 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

Use the change of base property to rewrite as a single logarithm: \frac{\log15}{\log3}

log 12 - log 4 = log 8

• True

• False

Condense

• A

• B

• C

• D

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

• log (a⁵ + b²⁵)
• log (a⁵ − b²⁵)
• log (ab²⁵)
• log (a⁵/b²⁵)

Condense

• A

• B

• C

• D