Consider a utility function:

U(x₁,x₂)=log(x₁)+log(x₂)

1 - Need to Find the MRS of this utility function as a function ofx₁ and x₂

2 - Need to state thetangency conditiongiven this utility function in terms of(p₁,p₂,x₁,x₂).

3- Following part 2, suppose that the income is m. Need to find the demand of x₁in terms of (p₁,p₂,m).