Interesting problem. I have two questions 1) would it be an accepted solution in the Olympiad if I just wrote down the obvious answer x = 3? (Found by checking some small values of x) 2) where do I get the value of the Lambert-w-function from?
Solution: 2^x+x = 11 = 2³+3 |The same operations are done with x on the left side of the equation as with 3 on the right side of the equation, therefore: x = 3
X=3
Interesting problem. I have two questions
1) would it be an accepted solution in the Olympiad if I just wrote down the obvious answer x = 3? (Found by checking some small values of x)
2) where do I get the value of the Lambert-w-function from?
Solution:
2^x+x = 11 = 2³+3 |The same operations are done with x on the left side of the equation as with 3 on the right side of the equation, therefore: x = 3
2^3 + 3 = 11 … I could write that without thinking
x=3
X=3
Did you assume a and b must be whole numbers?