$\"\"$

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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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$\"\"$

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Product property of logarithm: $\"\"$ .

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$\"\"$

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

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$\"\"$ (Multiply)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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$\"\"$ (Take square root on each side)

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$\"\"$ (Cancel square and root terms)

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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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$\"\"$ (Original equation)

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

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Power property of logarithms: $\"\"$ .

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$\"\"$

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

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

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

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$\"\"$ (Multiply)

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Case (i): $\"\"$

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$\"\"$ (Original equation)

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$\"\"$

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Power property of logarithms: $\"\"$

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$\"\"$

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Product property of logarithm: $\"\"$ .

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$\"\"$

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

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

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$\"\"$ (Multiply)

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$\"\"$

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The solutions are $\"\"$ and $\"\"$ .