In Problem $2\mathrm{.}16,$ you created a spreadsheet for calculating the thickness of a typical sheet of paper, $0\mathrm{.}004$ inches, which is folded multiple times. After one fold, the thickness is doubled to $0\mathrm{.}008$ inches, after two folds, it is doubled again to $0\mathrm{.}016$ inches, and so on$.$ Write a MATLAB program to determine the number of folds necessary to achieve a theoretical thickness of:

a$.1$ inch

b$.1$ mile

c$.$The distance from Earth to the moon

$$ Do not calculate the answer using the log$2$ function. Set up a loop to count the number of folds until the desired thickness is achieved.

$$ Execute the diary command $($turn on diary logging$)$ for a new diary file. Use appropriate comments in the script file. For part c$.,$ use a value of $238,855$ mi$.$ Turn off diary logging$.$ Submit the diary file and the script file.