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Question:** A marine specialist is monitoring coral growth in two restoration zones. Zone Alpha shows a growth rate of $ 5\% $ per month, and Zone Beta shows a growth rate of $ 3\% $ per month. If Zone Alpha starts with 200 coral colonies and Zone Beta starts with 300 colonies, after how many months will the number of coral colonies be equal in both zones?
Let $ t $ be the number of months after which both zones have the same number of coral colonies.
Growth in Zone Alpha: $ 200 \times (1.05)^t $

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