Logarithms

Rewrite as an exponential:
log(10,000)=4.

• e⁴=10,000
• 4^10,000=10
• 10⁴=10,000
• 0⁴=10

Tags

CCSS.HSF.BF.B.5

Evaluate: log₉3

• ½
• -½
• 2
• -2

Simplify the following logarithmic function:
log₂2⁸ =

• 8
• 2
• 1
• 16

Evaluate log₄1

• 1
• 0
• 4
• undefined

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Tags

CCSS.HSF.BF.B.5

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

Tags

CCSS.HSF.BF.B.5

Simplify 7^log₇(2x)

• 0
• 2x
• 2
• 1

Tags

CCSS.HSF.BF.B.5

Evaluate without a calculator:

log₆1

• 1

• 0

• 6

• undefined

Evaluate without a calculator:

log₂(-4)

• -2

• 2

• -1/2

• undefined

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.5