Exponential and Log Review

A logarithm to the base e.

• Common Log
• Natural Logarithm
• Logistic Model
• Gaussian Model

Tags

CCSS.HSF.BF.B.5

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

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 .

Tags

CCSS.HSF-BF.B.4B

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

Tags

CCSS.HSF-IF.C.7E

Solve for x:
3^2x = 27^{x - 4}

• x = 12
• x = 4
• x = -4
• x = 1

Domain of y = log x ?

• All real numbers

• x>0

• x<0

• y>0

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

-7*e^2x=28

• x=3.554
• x=-.122
• x=7.325
• Does Not Exist

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2
• 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.REI.B.3