Question

Solve the equation:
2*4^x+4^-x=3
(Hint: Multiply by something)

Answer 1

take log on both sides then
log 2^a=a log 2
use this to solve

Answer 2

assume 4^x =a
then the q becomes 2a+1/a= 3
or 2a^2-3a+1=0
2a^2-2a -a+1=0
or 2a(a-1) -1(a-1) =0
or (2a-1)(a-1)=0
hence a=1 or a=1/2
if a=1 then 4^x =1 means x=0
if a=1/2 then 4^x =1/2 means x=-1/2

Answer 3

Thank you matricked!!!!!!!! Helped alot!!

Answer 4

welcome ...