Logarithms- Give your answer as the year, with at least one decimal place

Question

The value of China's exports of automobiles and parts (in billions of dollars) is approximately f ( x ) = 1.8208 e^0.3387 x , where x = 0 corresponds to 1998. In what year did/will the exports reach $9.9 billion?

Answer 1

9.9 = 1.8208e^0.3387x

9.9/1.8208 = e^0.3387x

ln(9.9/1.8208) = lne^0.3387x

ln(9.9/1.8208) = 0.3387x

x = ln(9.9/1.8208)/0.3387

x = 4.99

The year is 2003.