To solve for $B$ in a function involving $3^{x - 5} + 1$, we’ll need the exact expression of the function and context for $B$ (e.g., is it an unknown variable in an equation or a boundary condition?).

If you have the equation or any additional details on the role of $B$, please provide them. Then, I’ll work through the steps for you.

Let me know if I can clarify anything or if you'd like more details. Here are five questions that might deepen understanding:

1. Is the function explicitly defined with $B$ as an output?
2. Do you have any specific values for $x$?
3. Is there an additional term or condition linked to $B$?
4. Are we solving for when the expression equals zero, or is it another value?
5. Are you familiar with solving exponential functions with transformations?

Tip: For expressions like $3^{x - 5} + 1$, identify transformations of $3^x$ separately before solving. This often clarifies steps in more complex equations.