Question

Log 2(основание) (5х-12)<4

Answer 1

Применены свойства логарифмов

Answer 2

To solve the inequality, we need to isolate the variable x. Here's the step-by-step solution:

1. Rewrite the inequality with an exponent base of 2: 2^(log2(5x - 12)) < 4

2. Apply the property of logarithms: log(base a)(a^b) = b. In this case, the base is 2 and the exponent is log2(5x - 12): 5x - 12 < 4

3. Add 12 to both sides of the inequality to isolate the variable: 5x < 4 + 12 5x < 16

4. Divide both sides of the inequality by 5: x < 16/5

Therefore, the solution to the inequality log2(5x - 12) < 4 is x < 16/5.