Properties of Logarithms

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98
• log 78
• log 56
• log 45

Condense

• A
• B
• C
• D

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

• log (a⁵ + b²⁵)
• log (a⁵ − b²⁵)
• log (ab²⁵)
• log (a⁵/b²⁵)

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:

 $\log_260\ -\ \log_210$  

•  $\log_26$  
  

•  $\log_250$  
  

•  $\frac{\log_260}{\log_210}$  
  

•  $\log_270$  
  

Which of the logarithms below is equivalent to the following:
 $2\log12$  

• log 10

• log 6

• log 24

• log 144

Use the change of base rule to simplify.  Round your answer to the nearest thousandth:

 $\log_420$  

Use the change of base property to rewrite as a single logarithm:

 $\frac{\log15}{\log3}$  

•  $\log\ \frac{1}{5}$  

•  $\log5$  

•  $\log_{15}3$  

•  $\log_315$