The logarithm equation is

The domain of the variable requires that and

so .

This means any solution must be satisfy

Apply the Product Property of Logarithms:

Apply logarithm property: is equivalent to

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Subtract from each side.

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Solve the equation by using factorization.

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Take out common factors.

\ \

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Apply zero product property.

and

and

Check: Substitute the values , in original equation. \ \

For

Since negative inside a logarithm is not possible, so is not a solution.

For

The above statement is true.

The solution set is .