Precalculus Examples

Simplify/Condense log base 5 of x^2-1- log base 5 of x-1
Use the quotient property of logarithms, .
Simplify the numerator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
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