Question

My maths in this area is a bit shaky. Does anybody know how I can calculate a power such as 10^2.2 using no maths functions other than */-+ and a for loop? I don’t have access to a maths library (and can’t import/include it), but need to calculate these things. Hmm.. maybe I should just look how the math library does it.

Answer 1

You can compute logs & exponentials using only basic arithmetic with a Taylor (or Maclaurin) series expansion. So, you should be able to take advantage of certain identities:

exp(ln(a)) = a
ln(a^b) = b*ln(a)
ln(1+x) = x - (x^2)/2 + (x^3)/3 - ... + ...
exp(x) = 1 + x + (x^2)/2 + ...

See what you can make of all of this…