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If x, y, and z are positive real numbers satisfying:

log x - log y =a

log y - log z = 15

log z - log x = -7

where a is a real number, what is a?

 Dec 30, 2018
 #1
avatar+101778 
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log x - log y = a

log y - log z = 15

log z - log x = -7

 

Add the last two equations

 

log y - log z  = 15

log z  - log x = -7

______________

log y - log x =  8     multiply through by -1

 

log x - log y   =  -8     =   "a"

 

 

cool cool cool

 Dec 30, 2018

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