Applications of Logarithms and Exponential

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

Tags

CCSS.HSF.BF.B.5

Write the function for the info below.
Initial Value: 25,000
Decay: Decrease by 5%

• f(x)=0.05(25,000)^x

• f(x) = 0.95(25,000)^x

• f(x) = 25,000 (0.95)^x

• f(x) = 25,000 (1.05)^x

Tags

CCSS.HSF.LE.A.2

Describe the graph of f(x) = log x changed to f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift right 1 and 5 units down

• vertical stretch by 3 and shift left 1 and 5 units down

• vertical compress by 3 and shift right 1 and 5 units down

• vertical compress by 3 and shift left 1 and 5 units down

Money is deposited into an account with interest using the formula A = Pe^rt . How many years will it take for the amount of money to double if the interest is compounded continuously at 5%?

• 13 years

• 14 years

• 1 year

• 2 year

Tags

CCSS.HSF.LE.A.4

Describe the transformations from the parent function.

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

What is the Domain?

• (-3,∞)

• (5,∞)

• (3,∞)

• (-5,∞)

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A

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Tags

CCSS.HSF-IF.C.7E

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Tags

CCSS.HSF-IF.C.7E