9b2bc823-1455-4270-a1f7-4c9bb5c3208c 17 Valery Ochkov 4 5 false false false 0 3 decimal

Some old SMath version can calculate this, but not anymore:

x 2^y 2^+ 1 - (3^x 2^y 3^* - 0 ≤ x 1.5 - 1.5 int y 1.5 - 1.5 int

Discretizing:

x y f x m / (2^y m / (2^+ 1 - (3^x m / (2^y m / (3^* - :

a 1.5 m * - :

b 1.5 m * :

N 100 :

k 1 N range :

ΔX b a - N / :

X k el a k 0.5 - (ΔX * + :

ΔY b a - N / :

Y k el a k 0.5 - (ΔY * + :

S.♡ X m el Y n el f 0 ≤ n 1 N sum m 1 N sum (ΔX ΔY * * : 3.6612 m 2^*

Solving for y:

x φ 44 x 2^* - x 43 /^+ :

x.max x φ x 1 roots : 1.139

S.♡ 2 x φ abs sqrt x 0 x.max int * m 2^* : 3.6618 m 2^*

Alvaro

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