SOLUTION: Solve the following: log(z^2-25)-log(z+5)=log7

Question 114805: Solve the following:
log(z^2-25)-log(z+5)=log7
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

First notice that is the difference of two squares, so . But we also know that the log of the product is the sum of the logs of the factors (), so we can write:

Since , our equation reduces to:

Since if and only if , we can now write:

Done.

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