Alg. 2 Topic 34: Evaluate Logarithms

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36
• log₆ 36 = 2
• ln 36 = 2
• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

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

CCSS.HSF.LE.A.4

True or False: log₈64=2

• True
• False

Tags

CCSS.HSF.BF.B.5

Evaluate log_b(b)

• -1
• 0
• 1
• b

Tags

CCSS.HSF.BF.B.5

The base of common log is 10. So log 100 = ?

• 1

• 2

• 10

• 50

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate b^log_b(x)

• x
• b
• 1
• 0

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1 =

• 1

• 0

• 4

• undefined

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4