Property of Logarithms

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

2log 4 + log 2

• log 8

• log 16

• log 32

• log 8²

Which property of logarithms is demonstrated below:


 $\log_920\ =\ \frac{\log20}{\log9}$  

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Rewrite as a single logarithm:

 $\log3\ +\ \log7$  

• log 10

• log 21

• log 3/7

• log 3/log 7

Rewrite as a single logarithm:

 $\log_260\ -\ \log_210$  

•  $\log_26$  
  

•  $\log_250$  
  

•  $\frac{\log_260}{\log_210}$  
  

•  $\log_270$  
  

Use the properties of logarithms to rewrite as the sum of two logarithms:

 $\log55$  

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5

Use the properties of logarithms to rewrite as the difference of two logs:

 $\log_545$  

•  $\log_590\ -\log_52$  

•  $\log_515-\log_53$  

•  $\frac{\log45}{\log\ 5}$  

•  $\log_550-\log_55$