Question

If 2x+3 – 2^x = k(2^x), what is the value of k?A) 3B) 5C) 7D) 8

Answer 1

For this case we can do the following:

`2^(x+3)-2^x=k(2^x)`

We can do the following

`2^x(2^3-1)=k(2^x)`

By direct comparison we have:

`2^3-1=8-1=7=k`

then the answer is:

c) 7