$\"\"$

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(a)

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The number of identical nucleotide sequences $\"\"$ after $\"\"$ minutes can be modeled by $\"\"$ .

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Find the time when the number of sequences is $\"\"$ .

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The number of sequences is $\"\"$ .

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

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$\"\"$

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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 property of logarithm : $\"\"$ .

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$\"\"$

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$\"\"$

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After $\"\"$ minutes DNA reaches to $\"\"$ sequences.

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$\"\"$

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(b)

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Find the time when DNA reaches to $\"\"$ million sequences.

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The number of sequences is $\"\"$ .

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

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$\"\"$

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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 property of logarithm : $\"\"$ .

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$\"\"$

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$\"\"$

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After $\"\"$ minutes DNA reaches to $\"\"$ million sequences.

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$\"\"$

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(a) After $\"\"$ minutes DNA reaches to $\"\"$ sequences.

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(b) After $\"\"$ minutes DNA reaches to $\"\"$ million sequences.