It is given y is directly proportional to x^n.write down the value of n.

Question

It is given that y is directly proportional to x^n.write down the value of n.

Ym^2 is the area of square of length xm 

Answer 1

Student,

 

Taking the first part of the question as worded literally, you get

 

y = kxⁿ,

 

where k is a proportionality constant.  You ask for n.

 

log(y) = log(k) + n log(x)

 

n = [log(y) - log(k)]/log(x)

 

n = log(y/k) / log(x)

 

Is this what you really meant to ask for?

 

The second part seems unrelated, like a leftover from a cut-and-paste.  Edit the problem statement, or delete this question, and post a new one with proper information.  Then a math tutor will be able to help you.