SOLUTION: Write each as the logarithm of a single quantity: log3 4 +log3 2+log3 2 log 4+3 log x +log y log 3 +1/2 log x -log 5 2 In x -In 3+In 6 3 log x +log 4 -log x -log6

There are three basic rules of logarithms:

#1. 

#2. 

#3. 

In one place we will need this rule of exponents and roots

#4.  

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Use #1 on the first two terms:





Use #1 again





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Use #3 on the middle term



Use #1 on the first two terms:



Use #1 again



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Use #3 on the middle term



Use #4



Use #1 on the first two terms:



Use #2



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Use #3 on the first term:



Use #2 on the first two terms:



Use #1





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Use #3 on the first term:



Factor -1 out of the last two terms:



Use #1 on the first two terms:



Use #1 on the two terms in the parentheses:





Use #2





Edwin