Question

СИСТЕМЫ ПОКАЗАТЕЛЬНЫХ И ЛОГАРИФМИЧЕСКИХ УРАВНЕНИЙ
50баллов Алгебра

Answer 1

Ответ:

$2 \times {3}^{x} = 18 \\ {4}^{x} \times {5}^{y} = 16$

=>

$1)2 \times {3}^{x} = 18 \\ {3}^{x} = 18 \div 2 \\ {3}^{x} = 9 \\ {3}^{x} = {3}^{2} \\ x = 2$

=>

$2) {4}^{2} \times {5}^{y} = 16 \\ 16 \times {5}^{y} = 16 \\ {5}^{y} = 16 \div 16 \\ {5}^{y} = 1 \\ {5}^{y} = {5}^{0} \\ y = 0$

(x,y)=>(2,0)