SOLUTION: condense each expression to a single logarithm {{{log(3,(a))+log(3,(b))+5*log(3,(c))}}} I am stuck on this question

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Question 224573: condense each expression to a single logarithm
I am stuck on this question
Found 2 solutions by drj, Edwin McCravy:
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
condense each expression to a single logarithm

log3a+log3b+5log3c

The sum of the logarithms of each term is the log of their products.

Also 5log(3c)=log(3c)+log(3c)+log(3c)+log(3c)+log(3c)=log(3c*3c*3c*3c*3c)=log((3c)^5)



ANSWER:

I hope the above steps were helpful.

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Respectfully,
Dr J

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Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Use the rule of logs:  
to rewrite the first two terms:

 

Use the rule of logs:  
to rewrite the second term:




Use this rule of logs again:  
to rewrite the expression:



Edwin
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