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Question

If log(m+n)=logm+logn, then:

A
mn=1
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B
m=n
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C
m(m1)=n
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D
mn=1
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Solution

The correct option is C m(m1)=n

if logm+logn=log(m+n), find m in terms of n

We can write this as: log(mn)=log(m+n)

mn=m+n

Subtracting n from both the sides we get,

mnn=m

n(m1)=m

mm1=n


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