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Proof that LOG 96+ 5 LOG 2=LOG3​

Answer»

hey dear,

assuming that your question should ACTUALLY be Log 96= 5 log 2 + log 3...

here's your proof...          

we know that

LCM of 96 = 2^5 x 3

and USING log identity logb x + logb y = logb(xy) ...

we have log 96 = log 2^5 + log 3

i,e....

    log (2^5 x 3)  

  =  log 2^5 + log 3

(or)  Log 96= 5 log 2 log 3...

∴ it has been proved that Log 96= 5 log 2+ log 3...



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