Let u=ln x and v= ln y. Write y^3x^5 in terms of u and v

Question

asked Dec 8, 2020 165k views

2 Answers

Riyas TK · Answer 1 · 2020-12-15T10:29:05+0000

Answer:

3v + 5u

Explanation:

Write z = y^3 x^5 in terms of u and v.

Take the natural log (ln) of both sides. Then:

ln z = 3 ln y + 5 ln x

Substituting u for ln x and v for ln y, we get:

ln z = 3v + 5u (answer)