y = x^n; how i can find n if y and x are known? thx?

Question

Y equal x to the power n ; if y and x are known , what is the mathmatical function that i can use it in order to find the value of n. i'll appreciate your answers

Answer 1

So, for the equation

y = x^n,

You want to solve for n.

This is where logarithms are used. You would change this equation to logarithmic form:

n = log [base x](y)

If you're using a calculator to solve for n, you would go

n = log (y) / log (x)

OR

n = ln(y) / ln(x)

Answer 2

i think it would best to use the logarithmic function. it goes something like this

y=x^n

taking natural log on both sides

log y=log x^n

log y=nlog x

find the values of log y and log x from the Clarke's table and you have the answer.

Answer 3

y=x^n
log(basex)y=log(basex)x^n
log(base x)y=nlog(base x)x, log(base x)x=1
=> log(base x)y=n

Answer 4

use a log in your calculaor.

Answer 5

Use logarithms .... n = (log y) / (log x)