$\"\"$

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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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Subtract 10 from each side.

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$\"\"$

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$\"\"$

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Factors the left side: $\"\"$ .

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$\"\"$

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Apply zero product property: ab = 0 then a = 0 or b = 0.

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

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Solve the first factor is $\"\"$ .

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Add 2 to each side.

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$\"\"$

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$\"\"$

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Solve the second factor is $\"\"$ .

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Subtract 5 from 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: $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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

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

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Apply exponential formula: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The solution is true. $\"\"$

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The solutions are $\"\"$ .