Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 16.4 \mathrm { e } ^ { 0.0002 \mathrm { x } }$

Multiple Choice

Solve the problem.
-In September 1998 the population of the country of West Goma in millions was modeled by $\mathrm { f } ( \mathrm { x } ) = 16.4 \mathrm { e } ^ { 0.0002 \mathrm { x } }$ . At the same time the population of East Goma in millions was modeled by $g ( x ) = 13.7 e ^ { 0.0134 x }$ . In both formulas $\mathrm { x }$ is the year, where $\mathrm { x } = 0$ corresponds to September 1998. Assuming these trends continue, estimate the year when the population of West Goma will equal the population of East Goma.

A) 14
B) 1984
C) 2011
D) 2012