Question

Решите логарифмічну нерівність пожалуйста log₉ x<2

Answer 1

Х>0 по определению логарифма
Log9(x) =2
X=81
X<81
Ответ: (0;81)

Answer 2

I can help you solve logarithmic inequalities. To solve the inequality log₉ x < 2, we need to use the property that logₐ b < c if and only if b < aᶜ for a > 1. In this case, a = 9 and c = 2, so we have:

log₉ x < 2 <=> x < 9²

x < 9² <=> x < 81

The solution is x < 81. You can check this by plugging in some values for x and see if they satisfy the inequality. For example, if x = 80, then log₉ 80 < 2, which is true. If x = 82, then log₉ 82 < 2, which is false.

If you want to learn more about logarithmic inequalities, you can visit some of these websites. They have more examples and explanations on how to solve them. I hope this helps. Have a nice day.