Question

Решите пожалуйста уравнение
$10 {}^{x + 4} - 17 \times 10 {}^{x + 2} = 83$
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Answer 1

$10 {}^{x \ + 4} - 17 \times 10 {}^{x + 2} 3 = 83$

$(10 {}^{2} - 17) \times 10 {}^{x + 2} = 83$

$(100 - 17) \times 10 {}^{x + 2} = 83$

$83 \times 10 {}^{x + 2} = 83$

$10 {}^{x + 2} = 1$

$10 {}^{x + 2} = 10 {}^{0}$

$x + 2 = 0$

$x = - 2$