SOLUTION: If log (p+q) = log p- log q, show that p(1-q)=q^2

SOLUTION: If log (p+q) = log p- log q, show that p(1-q)=q^2

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Question 87655: If log (p+q) = log p- log q, show that p(1-q)=q^2
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Remember the law of logarithms: .

Therefore, if you are given that ,
then replace the right side as follows:

Take the antilog of each side and it looks like this:
Muliply both sides by q:

Subtract pq from each side:

Factor the right side:

R^2 Retired from SCC

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