The subnet calculator helps you design networks by taking an IP address and network mask and returning information such as network, broadcast address, and host range.

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A^m + A^n = k

depending on the values of m & n, the equation may be unsolvable or you may end up with non-real roots (for A).

x = ln(A)

wikipedia has a variety of formulas for solving cubic & quartic equations

http://en.wikipedia.org/wiki/Cubic_equation

http://en.wikipedia.org/wiki/Quartic_equation

there is no set formula for solving higher order equations. you can use newton's method as jiexa showed.