$\"\"$

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The equation is $\"\"$ .

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Apply product property logarithm: $\"\"$ .

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$\"\"$

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$\"\"$

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Apply exponential formula: $\"\"$ .

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$\"\"$ $\"\"$

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Evaluate powers: $\"\"$ .

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$\"\"$

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Subtract 4 from each side.

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$\"\"$

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$\"\"$

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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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Apply square root on each side and eliminate squares each side.

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$\"\"$

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$\"\"$

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$\"\"$

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CHECK:-

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To check the solution, substitute a = 4 in $\"\"$ .

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$\"\"$

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ $\"\"$

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Apply product property logarithm: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Apply power property of logarithm: $\"\"$ .

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$\"\"$

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$\"\"$

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2 = 2

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$\"\"$

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The value of $\"\"$ .