(8)^(x)=(1/128)^(x-4)

Solution for (8)^(x)=(1/128)^(x-4) equation:

(8)^(x)=(1/128)^(x-4)

We move all terms to the left:

(8)^(x)-((1/128)^(x-4))=0


Domain of the equation: 128)^(x-4))!=0

x∈R


We add all the numbers together, and all the variables

8^x-((+1/128)^(x-4))=0

We multiply all the terms by the denominator


8^x*128)^(x+1-4))-((=0

We add all the numbers together, and all the variables

8^x*128)^(x-3))-((=0

We add all the numbers together, and all the variables

8^x*128)^(x=0

Wy multiply elements

1024x^2=0

a = 1024; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·1024·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{2048}=0$