Solve the equation 2^(2x+1)+8=17×2^x.

Oooh, looks fun

ok
erm
we might want to know some properties


if where a=a, then assume m=n


so



minus 17*2^x both sides

use u subsitution, u=2ˣ

solve
or

ac method
2 times 8=16
what 2 number multiply to get -17 and add to get 16
-16 and -1
2u²-1u-16u+8=0
(2u²-1u)+(-16u+8)=0
u(2u-1)+(-8)(2u-1)=0
(u-8)(2u-1)+0
u-8=0
u=8

2u-1=0
2u=1
u=1/2

now
u=2ˣ

8=2ˣ

3=x

and


-1=x

x=-1 and 3
neat problem