Question

Log4 (x-5) ≥ log4 (6-x)​

Answer 1

Ответ:

на листочке

Пошаговое объяснение:

Answer 2

To solve the inequality log₄(x - 5) ≥ log₄(6 - x), we can start by using the properties of logarithms. In this case, we have the same base (4) on both sides, so we can cancel out the logarithms and solve the resulting inequality.

log₄(x - 5) ≥ log₄(6 - x)

Since the bases are the same, we can remove the logarithms:

x - 5 ≥ 6 - x

Now, let's solve for x:

x + x ≥ 6 + 5 2x ≥ 11

Divide both sides by 2:

x ≥ 11/2

So the solution to the inequality log₄(x - 5) ≥ log₄(6 - x) is x ≥ 11/2 or x ≥ 5.5.