CH 7.3-7.6 Log/Logarithmic Funct., Transformations, Properties

Logarithmic functions are the inverse of...

• Natural Log Functions

• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

• 3

• ¹/₃

• -¹/₃

• -3

• 3

• 2

• 4

• 5

Simplify: e^ln7

• log_e7

• 7

• ln7

• e⁷

Solve for x.
log₅ 1 = x

• 0
• -1
• 2
• 1

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

• Horizontal shift left 5 units

• Horizontal shift right 5 units

• Vertical shift up 5 units

• Vertical shift down 5 units