$\"\"$

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The equation is $\"\"$ .

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

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$\"\"$

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

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

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

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$\"\"$

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$\"\"$ (Power of $\"\"$ )

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Apply cube roots and eliminate cubes.

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$\"\"$

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$\"\"$ (Add 1 to 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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Apply power property of logarithm: $\"\"$ .

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$\"\"$

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

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$\"\"$

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$\"\"$

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

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

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$\"\"$

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The solution is true. $\"\"$

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The solution is $\"\"$ .