Question

VA ROG DAU PUNCTE!!! URGENT

Answer 1

Răspuns:

x = 0; y = 4

Explicație pas cu pas:

${2}^{x} + {5}^{y} + {6}^{x + 4} = 1922$

${2}^{x} + {5}^{y} + 1296 \cdot {6}^{x} = 1922$

${6}^{x + 4} = 1296 \cdot {6}^{x} < 1922$

$\implies \bf x = 0$

${2}^{0} + {5}^{y} + 1296 \cdot {6}^{0} = 1922$

$1 + {5}^{y} + 1296 \cdot 1 = 1922$

${5}^{y} = 1922 - 1297$

${5}^{y} = 625 \iff {5}^{y} = {5}^{4}\implies \bf y = 4$