Review

Logarithmic functions are the inverse of...

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

What transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) -6

• No Transformations

• Reflected over the x-axis, up 3, and left 6

• Reflected over the x-axis, right 3, and down 6

• Reflected over the x-axis, left 3, down 6

Simplify the following logarithmic function:
log₂2⁸ =

• 8
• 2
• 1
• 16

Condense.

• log₂x²y¹⁰
• log₂x²+log₂y¹⁰
• log₂x²/y¹⁰
• log₂10xy

Write the following equation in logarithmic form:
2³ = 8

• log₂8 = 3
• log₂3 = 8
• log₃2 = 8
• log₃8 = 2

Expand

• 2log₃6 + 2log₃x
• 2log₃6 + log₃x
• 4 + 2log₃x
• 4 + log₃x

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

When a logarithm has division inside of it, it expands using ________________.

• Addition

• Subtraction

• Multiplication

• Division

Condense logarithm

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32
• 2³² = 5
• 5² = 32
• 32² = 5