Algebra 2 H log/ln functions/compound interest

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

The common logarithm has what base?

• 10
• 0
• e
• -e

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Logarithmic functions are the inverse of...

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

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers
• D: all real numbers
  R: y ≥ 0
• D: x ≥ 2
  R: y ≥ 3
• D: x ≤ 2
  R: y ≤ 3

Which equation is the inverse of the equation above?

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