#4 AAE Write Exponential Equations as Logarithms

The common logarithm has what base?

• 10
• 0
• e
• -e

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CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm.

 $3^4=81$  

•  $\log81=3$  

•  $\log_381=4$  

•  $\log_481=3$  

•  $\log_34=81$  

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CCSS.HSF.BF.B.5

Logarithmic functions are the inverse of...

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

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CCSS.HSF.BF.B.5

Write the following logarithmic equation as exponential equation.

log₂32 = 5

• 2⁵ = 32

• 2³² = 5

• 5² = 32

• 32² = 5

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CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm.

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

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CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm.

9² = 81

• log ₉ 81 = 2

• log ₂ 81 = 9

• log ₉ 2 = 81

• log ₂ 9 = 81

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CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm.

4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

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CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm.


 $2^{-1}=\frac{1}{2}$  

•  $\log_2\left(\frac{1}{2}\right)=-1$  

•  $\log_{-1}\left(\frac{1}{2}\right)=2$ 

•  $\log_2\left(-1\right)=\frac{1}{2}$  

•  $\log_{-1}\left(2\right)=\frac{1}{2}$  

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CCSS.HSF.BF.B.5

Which logarithm is not defined?

• $\log_525$

• $\log_{\frac{1}{5}}25$

• $\log_{25}5$

• $\log_5\left(-25\right)$

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CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm.

 $2^{-3}=\frac{1}{8}$  

•  $\log_{-3}\left(2\right)=\frac{1}{8}$  

•  $\log_{-3}\left(\frac{1}{8}\right)=2$ 

•  $\log_2\left(-3\right)=\frac{1}{8}$  

•   $\log_2\left(\frac{1}{8}\right)=-3$  

Tags

CCSS.HSF.BF.B.5