Intro to Logarithms

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate $\log_{64}4$ 

• 3

•  $-3$  
  

•  $\frac{1}{3}$  

•  $-\frac{1}{3}$  

Tags

CCSS.HSF.BF.B.5

81^3-x = (1/3)^5x-6

• 6
• -6
• 9/2
• 3/2

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃1

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₄2

• -¹/₂

• -2

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5