The logarithmic equation is $\"\"$ .

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Divide each side by 2.

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$\"\"$

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Apply exponential formula: $\"\"$ .

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$\"\"$

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$\"\"$

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Subtract 1 from each side.

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$\"\"$

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$\"\"$

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Divide each side by negative 2.

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$\"\"$

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$\"\"$ .

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Check:-

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To check the solution, substitute the value of $\"\"$ in original equation.

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$\"\"$

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Divide each side by 2.

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$\"\"$

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$\"\"$

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$\"\"$

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Apply exponential formula: $\"\"$ .

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$\"\"$

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$\"\"$

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The statement is true, so the value of $\"\"$ in the solution of original equation.