AA C&C Quiz REVIEW-Functions: Cmposition, Inverses, Expntl & Log

Match each logarithmic expression to its equivalent exponential form.

• 5^x = 10

• log₅ 10 = x

• x¹⁰ = 5

• ln 10 ≈ x

• 10⁵ = x

• log_x 5 = 10

• e^x ≈ 10

• log x = 5

• e¹⁰ ≈ x

• ln x ≈ 10

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CCSS.HSF.BF.B.5

Convert 2⁵ = 32 to its logarithmic form

Mathematical Equivalence

ON

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CCSS.HSF.BF.B.5

• 16

• ¹/₄

• 3

• 4

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CCSS.HSF.BF.B.5

Solve for x: log_x 8= 3

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CCSS.HSF.BF.B.5

Given log₂₀ 0.05 = x,

Complete the steps to evaluate by using exponential form.

​Step 1 (Rewrite in exponential form): ​ (a)   = 0.05

Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b)  

Step 3 (reduce the fraction): ​ (c)   Step 4 (rewrite as an exponent): ​ (d)  

Answer: ​ (e)  

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CCSS.HSF.BF.B.5

Given

f(x) = –5x–2

g(x) = 2x²

Find f(g(x))

*Choose ALL that apply

• -5(2x²) -2

• -10x² - 2

• 2(-5x-2)²

• 2(-5x - 2)(-5x - 2)

• -52x² - 2

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CCSS.HSF-BF.A.1C

Groups:

(a) a(b(x))

,

(b) b(a(x))

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CCSS.6.EE.A.3

Match each function to its inverse.

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CCSS.HSF-BF.B.4A

Order the steps to find the inverse of f(x) = 5(x+8)⁴

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CCSS.HSF-BF.B.4A