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$$log \frac{3}{x}+log x^{2}+ 3 log (3x)$$

 Aug 27, 2014

Best Answer 

 #1
avatar+130511 
+8

So we have, using a property of logs.....

log(3/x) + log(x^2) + log(3x)^3 =

log(3/x) + log(x^2) + log (27x^3)     .....and by another property pf logs, we have

log((3/x)*(x^2)*(27x^3)) =

log (81x^4)

We could also write this as log(3x)^4 = 4 log(3x)

 

 Aug 27, 2014
 #1
avatar+130511 
+8
Best Answer

So we have, using a property of logs.....

log(3/x) + log(x^2) + log(3x)^3 =

log(3/x) + log(x^2) + log (27x^3)     .....and by another property pf logs, we have

log((3/x)*(x^2)*(27x^3)) =

log (81x^4)

We could also write this as log(3x)^4 = 4 log(3x)

 

CPhill Aug 27, 2014

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