Question

Log1/3(x+2)=1 срооочноо!!!!

Answer 1

Ответ:

х = - 1цел 2/3

Пошаговое объяснение:

㏒ 1/3 (х + 2) = 1  

ОДЗ:  х + 2 >0   →  x > - 2

(1/3)^1 = x + 2

1/3 = х + 2

х = 1/3 - 2

х = -1цел 2/3

Answer 2

Log(1/3)((x+2)=1

x+2>0;x>-2; ODZ

x+2=1/3
x=-2+1/3
x=-5/3

oTBET -5/3

Answer 3

To solve the equation log₁/₃(x + 2) = 1, we need to get rid of the logarithm. Remember that logarithms and exponentials are inverse functions, so we can rewrite the equation using exponential form. The general form of a logarithm is:

logₐ(b) = c ⟺ aᶜ = b

In this case, the base (a) is 1/3, the exponent (c) is 1, and the result (b) is (x + 2). So, we have:

1/3¹ = x + 2

Now, simplify the left side:

1/3 = x + 2

To solve for x, isolate it on one side of the equation:

x = 1/3 - 2

x = 1/3 - 6/3

x = (1 - 6)/3

x = -5/3

So the solution to the equation is x = -5/3.