Question

Lg(3-x)=lg(x+2) решите

Answer 1

Lg(3-x)=lg(x+2)
ОДЗ: 3-x>0       x+2>0
           x<3           x>-2
3-x=x+2
1=2x
x=0,5
____________________
lg(3-0,5)=lg(0,5+2)
lg2,5=lg2,5

Ответ: x=0,5

Answer 2

(3-×)-(×+2)=0
3-x-x-2=0
1-2x =0
-2x=-1
x=0,5

Answer 3

To solve the equation $\log(3-x) = \log(x+2)$, we need to find the value of $x$ that satisfies the equation. Since both sides of the equation have the same logarithm base (logarithm with base 10, denoted as $\lg$), we can set the arguments inside the logarithms equal to each other:

$3 - x = x + 2$

Now, let's solve for $x$:

$3 - 2 = x + x$ $1 = 2x$

$x = \frac{1}{2}$

So the solution to the equation is $x = \frac{1}{2}$.