Question

Use the substitution y=2^x to solve for the x in the equation 2^(2x+1)-2^(x+1)+1=2^x

Answer 1

\(\large 2^{2x+1}-2^{x+1}+1=2^x\)

\(\large 2 \times 2^{2x}-2 \times 2^{x}+1=2^x\)

Answer 2

say \(\large 2^x = t\)

Answer 3

plug that above, you will see an all familiar quadratic equation, which should be easy to solve :)

Answer 4

you are a star dude thanks a lot

Answer 5

aww thnks :) you're wlcme !!