If a is the real root of the equation x + log3x-3 = 0 and B is the real root of X + 3 ^ x-3, find a + B

If a is the real root of the equation x + log3x-3 = 0 and B is the real root of X + 3 ^ x-3, find a + B

deformation
log3a=3-a
3∧b=3-b
Combination of number and shape
sinister
Log3a and 3 Λ B are reciprocal functions and symmetric with respect to y = X
Y = 3-x is a straight line
So the intersection of log3a and 3 Λ B with the line y = 3-x is symmetric with respect to y = X
The abscissa of the intersection of the line y = 3-x and y = x is 1.5
So α + β = 2 * 1.5 = 3