Question

Log3x>2 решить неравенство

Answer 1

Решение задания приложено

Answer 2

I hope this helps you

Answer 3

To solve the inequality log₃(x) > 2, we need to use properties of logarithms. Remember that logₐ(b) represents the logarithm of b with base a.

Step 1: Write the inequality in exponential form: log₃(x) > 2 can be rewritten as 3² < x.

Step 2: Simplify the right-hand side: 3² = 9.

Step 3: Write down the final inequality: x > 9.

So, the solution to the inequality is x > 9. Keep in mind that when dealing with logarithmic inequalities, it's essential to ensure that x is positive since logarithms are only defined for positive numbers. Therefore, the solution should be x > 9.