Question

if x = 1, y =2 and z =3,then find the value of 18 xy- 2yz -xz +4x^y . 8 x^y+ 6x^z-yz^.​

Answer 1

Answer:

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Answer 2

Answer=⟩

As suggested in one of the comments, taking the (natural) logarithms, we obtain a system of 2 linear equations in variables ln(x), ln(y) and ln(z). Its augmented matrix is the following

[2112303ln(7)9ln(7)]

Using Gaussian elimination, we obtain the following row-reduced augmented matrix

[10012−1−ln(7)5ln(7)]

Let t:=ln(z) parameterize the solution set (a curve) in the positive octant. Hence,

ln(x)ln(y)=−2t−ln(7)=t+5ln(7)

and, thus,

xyz=17e−2t=75et=et

Lastly,

xyz=74