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

Question

Regina Gates

Mathematics

5 February, 01:45

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

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Answers (2)

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Ireland Nicholson · Answer 1

3v + 5u

Step-by-step 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)