Chapter 7 Log and Exponential Review

Domain?

• (-∞, ∞)
• (0, ∞)
• (-∞, 0)
• [0, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Range?

• (-8, ∞)
• [-8, ∞)
• (-∞, ∞)
• (∞, -8)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Rewrite the logarithmic function into its expoential form:

Log_S F = T

• S^T = F

• T^F = S

• F^T = S

• S^F = T

Rewrite the following exponential form into its logarithmic form:

M^K = X

• Log_M X = K

• Log_X K = M

• Log_K X = M

• Log_K M = X

How can you tell if

y = A * B^x

^{is a growth model?}

• B > 1

• B < 1

• B = 1

• A < 1

Tags

CCSS.HSF-IF.C.8B

How would you describe the range of

Log₂ x = y

• All Real Numbers

• x > 0

• y > 0

• VA @ x = 0

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• 5
• 13
• 84
• -20

Tags

CCSS.HSF.BF.B.5