what do i do?

eqn = (da-db)/(da-db0) == (((qa-qb)*t+vb0)/vbo)^(qa/(qa-qb)); solve(eqn,qb);

error: Explicit solution cannot be found.

Answer 1

[Walter Roberson]

The solution is

(qa*lambertw(-ln((da-db)/(da-db0))*vbo*((da-db)/(da-db0))^(-vb0/(qa*t))/(qa*t))*t+ln((da-db)/(da-db0))*(qa*t+vb0))/(ln((da-db)/(da-db0))*t)

Unfortunately, the Symbolic Toolbox is weak on finding solutions involving lambertw, so you would have difficulty finding this solution.