Determine the solution to the exponential equation 8^x +1 = 2^x - 5. Explain how
you know that the value you obtain is the solution to the equation.

x=-4

Step-by-step explanation:

hello :

8=2^3    so : 8^x=(2^3)^(x+1) = 2^(3x+3)

8^(x +1) = 2^(x - 5)  means : 2^(3x+3) = 2^(x - 5)

3x+3 = x -5

2x = -8

x=-4

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb