8.4 - 8.6 Review

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Evaluate the log by thinking " 3 to what power is 1/9" so

log₃(1/9) =

• 1/2

• 2

• -2

• 3

Evaluate the following

 $\log_{300}1$  

• 1

• 0

• 300

• -1

Evaluate the following

 $4^{\log_43x}$  

• 4

•  $3x^4$  

• 3x

• 0

How would you rewrite the following logarithm in order to simplify it?

 $\log_7\left(\frac{1}{49}\right)$  

•  $\log_77^2$  

•  $\log_749^{-1}$  

•  $\log_77^{-2}$  

•  $\log_749$  

Evaluate the following

 $\log_327$  

• 2

• 3

• 0

• 27

What is the  Vertical Asymptote?

• x=5
• x=0
• y=0
• x=1

What is the Domain?

• x > 0
• All Real Numbers
• x > 1
• x < 1

What is the Range?

• y > 0
• All Real Numbers
• y > 1
• y < 1