Properties of Logarithms

Logarithmic functions are the inverse of...

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

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

Rewrite log x = 20 in exponential form.

• 1²⁰=x
• e²⁰=x
• 10²⁰=x
• x¹⁰=20

Tags

CCSS.HSF.BF.B.5

Re-write in log form 2⁶=64

• log₂6=64
• log₂64=6
• log₆₄2=6
• log₆₄6=2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite the equation in exponential form:
log₉ 1/81 = -2

• ln -2 = 1/81
• -2^1/81 = 9
• 9^-2 = 1/81
• 9^1/81 = -2

Tags

CCSS.HSF.BF.B.5

Evaluate the log:
log₃(1/9) = 

• 1/2
• 2
• -2
• 3

Tags

CCSS.HSF.BF.B.5

Evaluate the expression:
log₃₄₃ 7

• 3
• -3
• 49
• 1/3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

ln e⁵= 

• e⁵
• ln 5
• 5
• 5e

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₄1 = 

• 0
• 1
• 4
• DNE

Tags

CCSS.HSF.BF.B.5

Evaluate: 
  log₃ 27

• 3
• 4
• 6
• 9

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4