SOLUTION: log((x^2(x-3)^4)/(x^2-9))^(1/3) Using the law of logarthims to rewrite the following from a single log to a sum of logs

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log((x^2(x-3)^4)/(x^2-9))^(1/3) Using the law of logarthims to rewrite the following from a single log to a sum of logs       Log On


   

Question 220903: log((x^2(x-3)^4)/(x^2-9))^(1/3)
Using the law of logarthims to rewrite the following from a single log to a sum of logs
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log((x^2(x-3)^4)/(x^2-9))^(1/3)
Using the law of logarthims to rewrite the following from a single log to a sum of logs
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= log[x^2*(x-3)^4]-log[x^2-9)^(1/3)]
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= [2logx+4log(x-3)] - [(1/3)log(x^2-9)]
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Cheers,
Stan H.