Respuesta :

Solution

For this case we can do the following:

[tex]2^{x+3}-2^x=k(2^x)[/tex]

We can do the following

[tex]2^x(2^3-1)=k(2^x)[/tex]

By direct comparison we have:

[tex]2^3-1=8-1=7=k[/tex]

then the answer is:

c) 7

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