Question

F(x)=lg(x+2)-2lg(x+5)

Answer 1

Ответ:

х1=-4; х2=-3; х3=-1

Объяснение:

Answer 2

The function you provided is:

F(x) = lg(x + 2) - 2lg(x + 5)

Here, "lg" represents the logarithm to the base 10, which is commonly denoted as "log" in mathematics.

To simplify this expression further, we can apply the properties of logarithms:

1. lg(a) - lg(b) = lg(a/b)
2. lg(a^b) = b * lg(a)

Using these properties, let's simplify the given function step by step:

F(x) = lg(x + 2) - 2lg(x + 5) = lg(x + 2) - lg((x + 5)^2) (using property 2) = lg((x + 2)/(x + 5)^2) (using property 1)

So, the simplified form of the function F(x) is:

F(x) = lg((x + 2)/(x + 5)^2)