SOLUTION: {{{log2^y+log2(y+2)=log2^3}}} base is 2 for all

Algebra.Com
Question 261432: base is 2 for all
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

 base is 2 for all

I think you meant



In algebra.com triple bracket notation, that's written

  

Anyway,



Use the principle of logs:  
to rewrite the left side:



Now use the principle that if  then





; 
;   

Now we must dicard the answer ,
because if we were to substitute that into
the original equation, the first term would be
 and logs of negative numbers
are not defined as real numbers.  So the only
solution is 

Edwin


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