$\"\"$

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The equation is $\"\"$ .

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Apply Property of equality for logarithmic functions: $\"\"$ .

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$\"\"$

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

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$\"\"$

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Factors of 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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$\"\"$ or $\"\"$

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The first factor is $\"\"$ .

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$\"\"$ (Add 3 to each side)

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$\"\"$

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The second factor is $\"\"$ .

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$\"\"$ (Subtract 2 from each side)

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

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$\"\"$

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Apply Property of equality for logarithmic functions: $\"\"$ .

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$\"\"$

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The inequality is true. $\"\"$

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The solution is $\"\"$ .