Converting Exponents to Logs

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

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CCSS.HSF.BF.B.5

Convert Log₂(64) = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

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CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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CCSS.HSF.BF.B.5

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

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CCSS.HSF.BF.B.5

Match each exponential expression to its equivalent logarithmic form.

• e^x ≈ 10

• ln x ≈ 10

• x¹⁰ = 3

• log x = 3

• e¹⁰ ≈ x

• ln 10 ≈ x

• 3^x = 10

• log_x 3 = 10

• 10³ = x

• log₃ 10 = x

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CCSS.HSF.BF.B.5

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

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CCSS.HSF.BF.B.5

Logarithms are the inverse of ___________.

• Linear

• Quadratics

• Cubes

• Exponential

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CCSS.HSF.BF.B.5

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

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CCSS.HSF.BF.B.5

Solve for x:

• 1

• 2

• .5

• 4

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CCSS.HSF.BF.B.5

10^log(k)=

• k

• 10

• 10^k

• 1

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CCSS.HSF.BF.B.5