Question

Log1/3x больше или равно 0​

Answer 1

Ответ:

x∈(0;1]

Объяснение:

$Log_{\frac{1}{3} } x\geq 0$

ОДЗ:

х>0

$Log_{\frac{1}{3} } x\geq Log_{\frac{1}{3} } 1$

x≤1 (знак меняется, т.к. основание меньше 1)

х∈(0;1]

Answer 2

To solve the inequality log₁/₃(x) ≥ 0, we can use the properties of logarithms. The inequality can be rewritten as:

log₁/₃(x) ≥ 0

Now, let's convert the logarithmic inequality into an exponential form. Remember that logᵃ(b) = c is equivalent to aᶜ = b. In this case, a = 1/₃, b = x, and c = 0.

1/₃⁰ ≥ x

Since any non-zero number raised to the power of 0 is 1, we have:

1 ≥ x

So, the solution to the inequality is x ≤ 1.