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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1501.0. "Index Question" by HGRD01::JOSEPHCHEUNG () Tue Oct 15 1991 10:39

    HI,
    
    	There is a simple problem about index :
    
                  x     y
    		10  + 10  = 10
    
    	Question is : Express y in terms of x.
    
    	Do you know the answer ? Good Luck !!!
T.RTitleUserPersonal
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1501.1x= log(10-10^y)STAR::ABBASITue Oct 15 1991 11:101
    
1501.2CLT::TRACE::GILBERTOwnership ObligatesTue Oct 15 1991 21:481
re .1:  That answers a similar question.  Close, but no cigar :^).
1501.3y = 1 + log ( 1 - 10^(x-1) )QUIVER::COUCOUVITISWed Oct 16 1991 08:442
    is that closer ?
    arthur
1501.4nopeALLVAX::JROTHI know he moves along the piersWed Oct 16 1991 09:173
   Re .3

   - Jim
1501.5WONDER::COYLEWed Oct 16 1991 10:115
    How about:
    
    		Y  =  log( 10  -  10^X )
    
    -Joe
1501.6GUESS::DERAMODan D'Eramo, zfc::deramoWed Oct 16 1991 10:191
        :-)
1501.7WONDER::COYLEThu Oct 17 1991 10:2314
    I beleive if you relook at .3 you will see that it is a diferent form
    of .5:
    
    	Reply 5  >>        Y  =  log( 10 - 10^X )
    
    			   Y  =  log( (10) * (1 - 10^(X-1) )
    
    			   Y  =  log( 10 )  +  log( 1 - 10^(X-1) )
    
    			   Y  =  1  +  log( 1 - 10^(X-1) )
                           
        Which is the same as Reply 3
    
    -Joe
1501.8f <==> gSTAR::ABBASISat Oct 19 1991 17:243
    the question of if forms of expression are equivlant is very important
    in computer algebra. since then one chooses the form that has less
    complicated internal structure.