# Understanding the rocket equation - calculating Starship delta v

I am trying to calculate delta v of Starship - both as separate stages (Starship [SS], Super Heavy [SH]) and as a fully stacked rocket including 100t payload.

I know that I have to calculate 2 separate delta v values:

1. for tha phase of flight when only SH fires and SS is a dead weight
2. for when SS separates and fires its own engines

However I must be doing something wrong as I come up with very low total delta v for the full stack.

Here is s screen of my calculations:

Here it is with formulas:

In google sheets, you can supply the base of the logarithm as a second argument to the LOG function. For other systems, the identity $$log_a(x) = \frac{log_b(x)}{log_b(a)}$$ may be useful if you need to obtain a logarithm in some base $$a$$, but only have a function for some other base $$b$$.