2023 - 2024 - Logarithm Test Review

Rewrite 2⁶ = 64 in logarithmic form

• log₆2 = 64
• log₂64 = 6
• log₂6 = 64
• log₆64 = 2

Tags

CCSS.HSF.BF.B.5

Write log₆36 = 2 in exponential form

• 6² = 36
• 2⁶ = 36
• 2³⁶ = 6
• 36² = 6

Tags

CCSS.HSF.BF.B.5

Evaluate: log₃243

• 81
• ⅕
• 5
• 729

Evaluate: log₉3

• ½
• -½
• 2
• -2

Evaluate: log₄16 + log₄64 + log₄4

• 4
• 8
• -8
• 6

Expand: log₃(2ab²c)

• log₃2×log₃a×2log₃b×log₃c
• log₃2+log₃a+2log₃b+log₃c
• log₃2-log₃a-2log₃b-log₃c
• log₃(2+a+b²+c)

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

Solve for t.
4*10^-2t=84

• t=-0.661
• t=-.032
• t=1.225
• t=5.192

Tags

CCSS.7.EE.B.4A

• -.5609
• 3.4036
• 2.0674
• -1.0753

Use the Change of Base formula to evaluate the following to the nearest hundredths place:

  $\log_{12}35$