Algebra 2 Unit 10 Review

Write the given equation in exponential form:
log₂(⅛) = -3

• 2^-3 = ⅛
• 2³ = 8
• 3² = 8
• (-3)² = ⅛

Tags

CCSS.HSF.BF.B.5

Evaluate the logarithmic expression:
log₅ 25

• 2
• 2⁵
• 25
• 5²⁵

Write the exponential in logarithmic form:
2^-5 = 1/32

• log₂ (1/32) = 5
• log₂ (1/32) = -5
• log (1/32) = 2⁵
• log₂ (-6) = 1/32

Tags

CCSS.HSF.BF.B.5

Describe the transformation to the parent function:
g(x) = -2 log x+4

• Reflected, Expanded Vertically; Up 4
• Expanded Vertically; Down 4
• Reflected; Expanded Vertically; Down 4
• Expanded Vertically; Up 4

Which equation creates the graph?

• log₈ (x-2)
• log₈ (x+2)
• log₈ (x) - 2
• log₈ (x) + 2

Tags

CCSS.HSF-IF.C.7E

Describe the relationship between the graphs of
y= log₂ (x) and
y = 2^x

• Reflected across the x-axis
• Reflected across the y-axis
• Reflected across y = x
• Rotated about the Origin

Tags

CCSS.HSF.LE.B.5

Solve:
log₂₇ x = 2/3

• 18
• 27
• 9
• 2/3

Tags

CCSS.HSF.BF.B.5

Solve:
log₂ x = 6

• 12
• 36
• 64
• 6

Tags

CCSS.HSF.BF.B.5

Solve:
log₈₁ x > 1/4

• x > 1/81
• x > 1/3
• x > 10³
• x > 3

Solve:
log₇ x > 2

• x > 7
• x > 49
• x > 2^-7
• x > 14