Evaluate Logarithms and Condense

When a logarithm has multiplication inside of it, it expands using ________________.

• Addition

• Subtraction

• Multiplication

• Division

Rewrite log₁₀1000 = 3 in exponential form

• 10³ = 1000

• 1000¹⁰ = 3

• 10¹⁰⁰⁰ = 3

• 3¹⁰ = 1000

Expand:

• log₆y - log₆2

• log₆y + log₆2

• 2log₆y

• ylog₆2

Condense the logarithms: 2\log_5z\ +2\log_5x+10\log_5y

• log₅(x²z²y¹⁰)

• log₅(z²y²x¹⁰)

• log(zy²x¹⁰)

• log₅(z² + y² + x¹⁰)

• log (a⁵ + b²⁵)

• log (a⁵ − b²⁵)

• log (ab²⁵)

• log (a⁵/b²⁵)

• 3.091

• 2.365

• 2.746

• 1.804

• 4.965

• 3.408

• 4.17

• 2.212

Condense into a single logarithm.

• A

• B

• C

• D

Condense into a single logarithm.

• A

• B

• C

• D