Alg2 U10 ReTest: Exponential and Logarithmic Functions

Solve for x:
2^x+6=2⁵

• -1
• 11
• 1
• -11

Tags

CCSS.7.EE.B.4A

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3
• x = 2
• x = -1
• No Solution

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Tags

CCSS.HSF.BF.B.5

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4

Tags

CCSS.HSF-IF.C.7E

What is the range of the function graphed?

• (-∞, ∞)

• (-∞, 2] and [2, ∞)

• [2, ∞)

• (-∞, 2]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

What is the equation of the asymptote on the graph of   $y=\log_5\left(x+3\right)+5$ ? 

• x = -3

• x=5

• y= -3

• y=5

Tags

CCSS.HSF-IF.C.7E

Compared to the graph of  $f\left(x\right)=\log_2x$ , the asymptote on  $g\left(x\right)=\log_2\left(3x+12\right)$   will be translated...

• 12 units left to x = -12

• 12 units right to x = 12

• 4 units left to x = -4

• 4 units right to x = 4

• not at all and remain x = 0

Tags

CCSS.HSF-IF.C.7E