Hello!

This is a question about optimalization and Lagrange.

I've been doing some exercises on optimalization but there is something i can't figure out.

Sometimes they present the utility function as:

u(x1,x2)=log(x1+1)+2log(x2+2)

And in the solution proposal the derivated are:

L/x1=1/(x1+1)

L/x2=1/(x2+2)

And other times they present it like:

U(x1,x2)=lnx1+lnx2

And in the solution proposal the derivated are:

L/x1=1/c1

L/x2=/c2

So the question is, is "ln" and "log" the same when it comes to deriving a lagrange function?

Because it looks to me like both of them are derivated like a "ln" function