2(1.05)^t = 3(1.03)^t

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• Set them equal:
• 200(1.05)^t = 300(1.03)^t
• Divide both sides by 100:
• \ln(2) + t \ln(1.05) = \ln(3) + t \ln(1.03)
• Solve for $ t $:
• t (\ln(1.05) - \ln(1.03)) = \ln(3) - \ln(2)

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