$\"\"$

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The equation is $\"\"$ .

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Solve the equation.

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$\"\"$ (Original equation)

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$\"\"$ (Power property of logarithms: $\"\"$ )

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$\"\"$ (Logarithm quotient property: $\"\"$ )

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$\"\"$ (Definition of logarithm: $\"\"$ ,then $\"\"$ )

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$\"\"$ (Substitute: $\"\"$ )

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$\"\"$ (Cross product)

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Factors)

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$\"\"$ (Group the factors)

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$\"\"$ (Take out common factor)

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$\"\"$ (Take out common factor)

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$\"\"$ or $\"\"$ (Separate solutions)

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$\"\"$ and $\"\"$ (Simplify)

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$\"\"$

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Check solution for $\"\"$ -values.

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Case(i):

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$\"\"$

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Power property of logarithms: $\"\"$ )

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$\"\"$ (Logarithm quotient property: $\"\"$ )

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$\"\"$ (Definition of logarithm: $\"\"$ ,then $\"\"$ )

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$\"\"$ (Substitute: $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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Case(ii):

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$\"\"$

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ )

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Since $\"\"$ is undefined and $\"\"$ an extraneous solutions.

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$\"\"$

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The solution is $\"\"$ .