Esteban's account balance can be modeled by $f(t)=1000 \cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \cdot e^{(0.12 t)}$, where $t$ is the number of years since they opened their accounts. $f(x)$ in blue goes through (0,1000), (5,1500), and $g(x)$ in red goes through (6,1500), (8,2000). When do the accounts have the same balance?
Round your answer to the nearest integer. 

Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Esteban's account balance can be modeled by $f(t)=1000 \cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \cdot e^{(0.12 t)}$, where $t$ is the number of years since they opened their accounts. $f(x)$ in blue goes through (0,1000), (5,1500), and $g(x)$ in red goes through (6,1500), (8,2000). When do the accounts have the same balance?
Round your answer to the nearest integer. 

Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Esteban's account balance can be modeled by $f(t)=1000 \cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \cdot e^{(0.12 t)}$, where $t$ is the number of years since they opened their accounts. $f(x)$ in blue goes through (0,1000), (5,1500), and $g(x)$ in red goes through (6,1500), (8,2000). When do the accounts have the same balance?
Round your answer to the nearest integer. 
