Step 1:

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The logarithmic equation is $\"\"$ .

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Re write the equation $\"\"$

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Apply quotient rule of logarithms: $\"\"$ .

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$\"\"$

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Apply product rule of logarithms: $\"\"$ .

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$\"\"$

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Definition of logarithmic function $\"\"$ if and only if $\"\"$ .

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$\"\"$

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$\"\"$ .

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Step 2:

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Let $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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Step 3:

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The solutions of logarithmic equation are $\"\"$ and $\"\"$ .

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The domain of the logarithmic equation is $\"\"$ .

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Therefore, the solution of equation is $\"\"$ .

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Solution:

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The solutions of logarithmic equation is $\"\"$ .

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Option (d) is correct.