Question

Rezolvati in multimea numerelor reale ecuatia: 8^x = 4^(2x+1)

Answer 1

Salut,

Din enunț avem așa:

$2^{3x}=2^{4x+2},\ deci\ 3x=4x+2,\ adic\breve{a}\ x=-2.$

Simplu, nu ?

Green eyes.

Answer 2

(2^3)^x=4^2x*4
(2^3)^x=(2^2)^2x*2^2
2^3x=2^4x*2^2
3x=4x+2
4x-3x=-2
x=-2