SOLUTION: Kindly help me solving it i tried my best but I couldn't If {{{(loga)/(y-z)=(logb)/(z-x)=(logc)/(x-y) }}}the value of abc is? Kindly provide me the solution steps thereof. Itried

Question 1046135: Kindly help me solving it i tried my best but I couldn't
If the value of abc is? Kindly provide me the solution steps thereof.
Itried it in the following manner
If
then obviously a=b=c
So abc=aaa
Or abc=3a
But that is not the correct answer.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

<===>
<===>
===> , , and .
Multiplying the corresponding sides of the 1st and 3rd equations give
,
<===> ===> .
Since for all real numbers y and z, there is only one possibility for the value of abc, and that is, .

(You can also do the similar thing with the corresponding sides of the 2nd and the 3rd equations, and arrive at the same conclusion.)
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