Question

5^3x+1-5^3x-3 меньше или равно 624

Answer 1

$5^{3x+1} - 5^{3x-3} \leq 624$

[$5*5^{3x} - 5^{3x}*5^{-3} \leq  624$

$5*5^{3x} - 5^{3x}* \frac{1}{5^{3}} \leq 624$

$5*5^{3x} - \frac{5^{3x}}{125} \leq 624$

$5^{3x}(5 - \frac{1}{125}) \leq 624$

$5^{3x}(\frac{5*125-1}{125}) \leq 624$

$5^{3x}(\frac{624}{125}) \leq 624$

$5^{3x} \leq 125$

$5^{3x} \leq 5^{3}$

3x ≤ 3
  x ≤ 1

Ответ:(-∞;1]