Question

若x=log4 3,则（2的x次方-2的-x次方）²等于多少

Answer 1

X=㏒4(3)=1/2㏒2(3)=㏒2(√3),
∴2^X=√3
2^-X=1/2^X=1/√3,
∴原式=(√3-1/√3)^2
=3-2+1/3
=4/3.