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Question

Prove that log(1+2+3)=log1+log2+log3.


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Solution

As we can write log(1+2+3)=log6

Also log6=log(1×2×3)

As we know that log(ab)=loga+logb

log(abc)=loga+logb+logclog(1×2×3)=log1+log2+log3

Hence proved.


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