Evaluate Logarithms and Condense

Evaluate.
3 log₂4

• 3

• 6

• 2

• 4

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Rewrite the equation in logarithmic form.

• A

• B

• C

• D

State the property (s) used to simplify the expression log₄20 - 3log₄x = log₄(20/x³)

• Power Property

• Quotient Property

• Quotient and Power Property

• Product and Power Property

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

2log 4 + log 2

• log 8

• log 16

• log 32

• log 8²

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Expand the logarithm.

• A

• B

• C

• D