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Please help.. i'm really stuck..

 

log sqrt(5x) + log sqrt(20x)

Guest Sep 19, 2017
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 #1
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log √[5x] + log √[20x]

 

Note that we can use the properties   

 

log a  + log b  = log [ a * b ]           and  log ab  = b*log a

 

So we can write

 

log √[5x] + log √[20x]   = 

 

log (5x)1/2 + log (20x)1/2  =  

 

(1/2)  [ log (5x)  + log (20x) ]  =

 

(1/2) [  log (5x  * 20x) ]  =

 

(1/2) log ( 100 x2)  =

 

log (100x2)1/2  =

 

log  √ [ 100x2 ]

 

log (10x)      which can also be simplified as  

 

log 10 + log x  =

 

1 + log x

 

 

 

cool cool cool

CPhill  Sep 19, 2017

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