I'm having trouble with a simple math problem that I embarrassingly should know how to solve.

X^n = n^10

X is a constant value.

Solve for n.

Can anyone point me in the right direction?

Thanks!

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- Mar 19th 2009, 06:26 PMwonder-wookiesolving for an exponent
I'm having trouble with a simple math problem that I embarrassingly should know how to solve.

X^n = n^10

X is a constant value.

Solve for n.

Can anyone point me in the right direction?

Thanks! - Mar 19th 2009, 06:49 PMmr fantastic
- Mar 19th 2009, 08:03 PMwonder-wookie
ok, lets see if I have this correct...

log(X^n) = log(n^10)

n log (X) = 10 log (n)

n 10

----- = ------

log (n) log (X)

That is as far as I got. How can I simplify the left hand side so there is a single N term? - Mar 19th 2009, 10:07 PMmr fantastic
- Mar 20th 2009, 06:22 AMwonder-wookie
Ultimately I am trying to find an integer value of N when X^n > N^10. I was working on the assumption that if I found the point where they become equal it would be easy to just take the next larger integer to solve the problem. The values for X are greater than 1 but still small, on the order of 1.001