Chapter 8 Logarithms

Is this exponential growth or decay?

• Growth
• Decay

Rewrite the equation into logarithmic form:
6² = 36

• log₆(2)= 36
• log₆(36) = 2
• ln(36) = 2
• 6³⁶ = 2

Rewrite the equation in exponential form:
log₉(1/81) = -2

• ln(-2) = 1/81
• -2^(1/81) = 9
• 9^-2 = 1/81
• 9^(1/81) = -2

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Expand: log₅xy³

• log₅x +log₅y³

• log₅x - log₅y³

• log₅x +3log₅y

• log₅x ⋅ 3log₅y

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: (−∞, ∞)
  Range: y>0
• Domain: −∞<x<∞
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

What is the Range?

• y > 0
• All Real Numbers
• y > 1
• y < 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the Domain?

• x > 0
• All Real Numbers
• x > 1
• x < 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

log₂(x + 5) = 3

• 3
• 4
• 5
• 6