Question

Sa se rezolve in multimea numerelor reale ecuatia 4la puterea x +3*2la puterea x -4=0

Answer 1

[tex] 4^{x} +3* 2^{x} -4=0 \\ \\ 2^{2x}+3*2^x-4=0 \\ \\ 2^x=t \\ \\ t^2+3t-4=0 \\ \\ delta=9+16=25 \\ \\ t1= \frac{-3+5}{2} =1, 2^x=1, x=0\\ \\ t2= \frac{-3-5}{2} =-4[/tex]