Unit 4 Exponential and Logarithmic Functions Test Prep 1

If I ask to evaluate this log, what am I really asking you to do?
log₄16

• Determine the exponent you need to take 16 to in order to get 4.
• Determine the exponent you need to take 4 to in order to get 16.
• Multiply 4 and 16 together.
• Divide 16 by 4.

Evaluate: log₂⅛

• -3
• -4
• 2
• 8

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
8³ = 512

• log ₈ 512 = 3
• log ₃ 512 = 8
• log ₃ 5 = 512
• log ₈ 5 = 512

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
2^-1 = 0.5

• log ₂ 0.5 = -1
• log _-1 0.5 = 2
• log ₂ -1 = 0.5
• log _-1 2 = 0.5

Tags

CCSS.HSF.BF.B.5

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF.BF.B.5

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF-BF.B.4B

Find the inverse function:
f(x) = 2^x

• f ^-1(x) = log₂(x)
• f ^-1(x) = log_x(2)
• f ^-1(x) = 2^x
• f ^-1(x) = x²

Find the inverse of y=5^x-8

• y=log₅(x-8)
• y=log₅(x+8)
• y=log₈(x-5)
• y=log₈(x+5)