Question

Log3 x> log3 (5 -x) Укажите сумму целых решений неравенства

Answer 1

X>5-x
2x>5
x>5/2

ОДЗ:
x<5
Целые решения:
3 и 4, сумма 7

Answer 2

I can help you with your math problem. To solve the inequality, we need to use the properties of logarithms and solve for x. Here are the steps:

- Rewrite the inequality as $$\log_3 x - \log_3 (5-x) > 0$$ - Apply the quotient rule of logarithms to get $$\log_3 \frac{x}{5-x} > 0$$ - Exponentiate both sides with base 3 to get $$\frac{x}{5-x} > 1$$ - Cross-multiply and simplify to get $$x > 2.5$$

The solution set is $$x \in (2.5, \infty)$$

To find the sum of the integer solutions, we need to find the integers that are greater than 2.5. The smallest such integer is 3, and there is no upper bound. Therefore, the sum of the integer solutions is infinite.Ответь+подробно.+Log3+x>+log3+(5+-x)+Укажите+сумму+целых+решений+неравенства