Alg 2 Test on Sections 4.4 to 4.6

Rewrite 5⁴ = 625 in logarithmic form.

• log₅4 = 625

• log₄625 = 5

• log₅ 625 = 4

• log₆₂₅ 5= 4

Solve the log using the change of base formula:

log₉27

• 3/2

• 2/3

• 3

• 0.5

Evaluate the log:
log₃(1/9) = 

• 1/2
• 2
• -2
• 3

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm by using a calculator

log125 = ?

• 3.34

• 2.10

• 8.16

• 4.04

• 2.98

Evaluate the following natural logarithm by using a calculator

ln1000 = ?

• 8.32

• 5.39

• 7.75

• 6.91

• 10

Find the inverse of the function f(x)=4^(x+1) - 1

• f^-1(x)=log₄( x + 1 ) - 1

• f^-1(x)=log₄( x - 1 ) + 1

• f^-1(x)=log₄( x + 1 ) + 1

• f^-1(x)=log₄( x - 1 ) - 1

Find the inverse of f(x)=log₃(x+2)

• f^-1(x)=3^x + 2

• f^-1(x)=3^x- 2

• f^-1(x)=3^{(x - 2)}

• f^-1(x)=3^{(x + 2)}

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation

• y = log₄ (x)+2
• y = log₄ (x + 2) + 1 
• y = log₄ (x - 1) + 2
• y = log₄ (-x + 2)

Tags

CCSS.HSF-IF.C.7E

Which of the following transformations would transform

f(x)= lnx

into

g(x)= −12ln(x+5) - 9

• reflection over the x-axis

  vertical stretch by factor of 12

  left 5 units

  down 9 units

• reflection over the x-axis

  vertical compression by factor of 12

  left 5 units

  down 9 units

• reflection over the x-axis

  vertical stretch by factor of 12

  right 5 units

  down 9 units

• reflection over the y-axis

  vertical stretch by factor of 12

  left 5 units

  down 9 units

• reflection over the x-axis

  vertical stretch by factor of 12

  up 5 units

  left 9 units