SOLUTION: How do you Combine logs? Log(base5)(x^2-1)-Log(base5)(x-1)

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Question 153463: How do you Combine logs?
Log(base5)(x^2-1)-Log(base5)(x-1)
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Use the following logarithmic property:
log+a-log+b=log+%28a%2Fb%29
So
log+%28%28x%5E2-1%29%29-log+%28%28x-1%29%29
=log+%28%28x%5E2-1%29%2F%28x-1%29%29
=log+%28%28x%2B1%29%28x-1%29%2F%28x-1%29%29
=log+%28%28x%2B1%29cross%28%28x-1%29%29%2Fcross%28%28x-1%29%29%29
=log+%28%28x%2B1%29%29