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If an initial quantity $\"\"$ continuous grows at an exponential rate $\"\"$ , then the final amount $\"\"$ after a time $\"\"$ is given by the following formula $\"\"$ . $\"\"$

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Pasture contains $\"\"$ plants of this species, so $\"\"$ plants.

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Since particular species of plant has a doubling time of $\"\"$ days, $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Apply logarithm on each side.

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find number of plants after $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Number of plants after $\"\"$ years is $\"\"$ .

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$\"\"$

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Find number of plants after $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Number of plants after $\"\"$ years is $\"\"$ .

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$\"\"$

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Find number of plants after $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ .

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Number of plants after $\"\"$ years is $\"\"$ . $\"\"$

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Number of plants after $\"\"$ years is $\"\"$ .

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Number of plants after $\"\"$ years is $\"\"$ .

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Number of plants after $\"\"$ years is $\"\"$ .