$\"\"$

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The equation is $\"\"$ and the point is $\"\"$ . \ \

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The slope of the tangent line is equal to the derivative of the function at $\"\"$ . \ \

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$\"\"$ .

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

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$\"\"$

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Apply derivative on each side with respect to $\"\"$ . \ \

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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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Slope at the point $\"\"$ is $\"\"$ . \ \

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

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$\"\"$

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$\"\"$ . \ \

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Point-slope form of line equation $\"\"$ . \ \

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Substitute point $\"\"$ and slope $\"\"$ in the above equation. \ \ $\"\"$ . \ \

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Tangent line equation is $\"\"$ .

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$\"\"$ \ \

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Tangent line equation is $\"\"$ .