document.write( "Question 1046135: Kindly help me solving it i tried my best but I couldn't
\n" ); document.write( "If \"%28loga%29%2F%28y-z%29=%28logb%29%2F%28z-x%29=%28logc%29%2F%28x-y%29+\"the value of abc is? Kindly provide me the solution steps thereof.
\n" ); document.write( "Itried it in the following manner
\n" ); document.write( "If \"loga=logb=logc\"
\n" ); document.write( "then obviously a=b=c
\n" ); document.write( "So abc=aaa
\n" ); document.write( "Or abc=3a
\n" ); document.write( "But that is not the correct answer.
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Algebra.Com's Answer #661644 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
\"%28loga%29%2F%28y-z%29=%28logb%29%2F%28z-x%29=%28logc%29%2F%28x-y%29+\"\r
\n" ); document.write( "\n" ); document.write( "<===>\r
\n" ); document.write( "\n" ); document.write( "<===>\"a%5E%281%2F%28y-z%29%29=+b%5E%281%2F%28z-x%29%29+=+c%5E%281%2F%28x-y%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "===> \"a%5E%28z-x%29+=+b%5E%28y-z%29\", \"b%5E%28x-y%29+=+c%5E%28z-x%29\", and \"a%5E%28x-y%29+=+c%5E%28y-z%29\".\r
\n" ); document.write( "\n" ); document.write( "Multiplying the corresponding sides of the 1st and 3rd equations give\r
\n" ); document.write( "\n" ); document.write( "\"a%5E%28z-y%29+=+%28bc%29%5E%28y-z%29\",\r
\n" ); document.write( "\n" ); document.write( "<===> \"1%2Fa%5E%28y-z%29+=+%28bc%29%5E%28y-z%29\" ===> \"1+=+%28abc%29%5E%28y-z%29\".\r
\n" ); document.write( "\n" ); document.write( "Since \"y+-+z+%3C%3E0+\" for all real numbers y and z, there is only one possibility for the value of abc, and that is, \"highlight+%28abc+=+1%29\".\r
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\n" ); document.write( "\n" ); document.write( "(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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