$\"\"$

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The logarithm equation is $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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

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

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

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$\"\"$

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Case 1 :

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The exponential equation is $\"\"$ .

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Apply logarithm on each side.

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$\"\"$

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The domain of logarithm : $\"\"$ .

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$\"\"$ is not in the domain of logarithm.

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Hence there is no solution.

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$\"\"$

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Case 2 :

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The exponential equation is $\"\"$ .

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Apply logarithm on each side.

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$\"\"$ .

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

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$\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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The value of $\"\"$ is $\"\"$ .