SOLUTION: I cannot figure out how to rewrite this logarithm as one simplified logarithm log(6x)+5log(3x)-3log(9x) Please help. xandra

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Question 131451: I cannot figure out how to rewrite this logarithm as one simplified logarithm
log(6x)+5log(3x)-3log(9x)
Please help.
xandra

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
I cannot figure out how to rewrite this logarithm as one simplified logarithm
log(6x)+5log(3x)-3log(9x)
Please help.



Use a rule of logs to write the coefficients as exponents:



Use a law of exponents to remove the inner parenthesesL:



Use a rule of logs on the first two terms:



Write  as  and  as 



Add exponents of 3 and x in the first term and multiply
exponents in the second term:



Use a rule of logs:



 Cancel the 's





Subtract the exponents of the x's



Edwin

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