SOLUTION: I feel stupid asking this question but, Is there a differnce between a logarithm of a product and the product of a logarithm? If there is a differnce can you explain it to me?

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Question 34222This question is from textbook
: I feel stupid asking this question but, Is there a differnce between a logarithm of a product and the product of a logarithm? If there is a differnce can you explain it to me? This question is from textbook

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
YA...LOG (10*10)=LOG(10)+LOG(10)..IS CORRECT SINCE LHS=LOG(100)=2...RHS=LOG(10)+LOG(10)=1+1=2
SO THE FORMULA IS LOG(A*B)=LOG(A)+LOG(B)

BUT LOG(10)*LOG(10)=1*1=1...I IS NOT LOG(10*10)..OR...ANY OTHER THING...THERE IS NO FORMULA FOR LOG(A)*LOG(B)