Closed barakman closed 7 months ago
The calculation of 2 ^ x for a non-integer value of x is limited by x < 16 * ln(2), which is approximately 23.08.
2 ^ x
x
x < 16 * ln(2)
The solution to this problem relies on the identity:
A ^ B.C = A ^ (B + 0.C) = A ^ B * A ^ 0.C
For example:
2 ^ 3.4 = 2 ^ (3 + 0.4) = 2 ^ 3 * 2 ^ 0.4
Calculating 2 ^ 3 is easy, and calculating 2 ^ 0.4 is also easy, because 0.4 is way below the limit (23.08).
2 ^ 3
2 ^ 0.4
0.4
The calculation of
2 ^ xfor a non-integer value ofxis limited byx < 16 * ln(2), which is approximately 23.08.The solution to this problem relies on the identity:
For example:
Calculating
2 ^ 3is easy, and calculating2 ^ 0.4is also easy, because0.4is way below the limit (23.08).