Question

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.

Answer 1

x=-4

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