Question

If 2 raise to the power x+1 = 8x , then x has the value ?

Answer 1

Answer:

1/2

Step-by-step explanation:

2^(x+1) = 8^x

2^(x+1)= 2^(3x)

we know that ,

 If  a^n= a^ m then n=m

then,

x+1=3x

1= 3x-x

1=2x

x=1/2

Answer 2

Answer:

1/2

Step-by-step explanation:

${2}^{ x + 1} = 8x \\ {2}^{x + 1} = {2}^{3x} \: \: \: \ ( {a}^{m} = {a}^{n} then \: m = n) \\ x + 1 = 3x \\ 1 = 3x - 1x \\ 1 = 2x \\ x = \frac{1}{2}$