Real-World Application: Apply exponential and logarithmic functions to the following scenarios. Provide detailed calculations and explanations.
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- Determine the population of a species that doubles every 5 years, given an initial population of 200.
- Calculate the time required for an investment of $1000 to grow to $2000 at an annual interest rate of 7%, compounded annually.
Complete all three above, save them into one .pdf, and upload them when complete.