Module 15 Algebra II Review

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Find the value of x that makes this equation true.

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Determine the transformations

• left 1, reflected over x-axis

• up 1, reflected over y-axis

• right 1, reflected over x-axis

• left 1, reflected over y-axis

Logarithms and Exponentials are what?

• parallel
• perpendiular 
• inverses
• congurent

The inverse of a logarithmic function and the logarithmic function do what on a graph?

• The are perpendicular
• They are paralell
• They reflect over the line y=x.
• There is nothing special .

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3