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avatar+26 

So I know that all the logs have bases of 2, so I can divide (x+1) to (x+3)

But do I divide (x+3) by (x-1)? 

If I do that, then there would be a fraction in the denominator, how can I either avoid that or work that out?

 

The answer in the textbook says: log_2 (x+1)^2/ (x+3) (x-1). I just don't know why they multiplied instead of divided (x+3) and (x-1)

 Jan 5, 2016
 #1
avatar+128475 
+5

2log2(x + 1) - log2 (x + 3) - log2 (x - 1)  ......we can write this as :

 

 log2(x + 1)^2 - [ log2 (x + 3) + log2 (x - 1)]  =  [remember .....log a + log b =  log(a * b) ]

 

log2 (x + 1)^2  - [ log2 ( x+ 3) (x - 1) ]  =   [ also...... log a - log b =  log (a / b)  ]

 

log2 [ (x + 1)^2 / [ (x + 3) (x - 1)]

 

 

 

cool cool cool

 Jan 5, 2016

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