Practice Final : Logarithmic Functions

Logarithmic functions are the inverse of...

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

 Which logarithmic equation is equivalent to  

 $16^{\frac{3}{4}}=8$

 ?

•  $\log_{\frac{3}{4}}16=8$  

•  $\log_816=\frac{3}{4}$  

•  $\log_{16}\ \frac{3}{4}=8$  

•  $\log_{16}\ 8=\frac{3}{4}$  

Which logarithmic equation is equivalent to  $3^5=243$  ?

•  $\log_5\ 243=3$  

•  $\log_{243\ }3=5$  

•  $\log_{243}\ 5=3$  

•  $\log_3\ 243=5$  

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Which exponential equation is equivalent to  $\log_{14}\ \frac{1}{196}=-2$  ?

•  $\left(\frac{1}{196}\right)^{-2}=14$  

•  $\left(-2\right)^{14}=\frac{1}{196}$  

•  $14^{-2}=\frac{1}{196}$  

•  $\left(-2\right)^{\frac{1}{196}}=14$  

Evaluate log₄1

• 1
• 0
• 4
• undefined

 $\log\ 1000$  

• 3

• 2

• 10

• 1

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃