Question

Rezolvati in R ecuatia $(\frac{1}{2})^{-x}+2^{x}=6$.

Answer 1

(1/2)⁻ˣ + 2ˣ = 6
2ˣ+ 2ˣ = 6
2•2ˣ = 6
2ˣ = 3
x = log₂3

Answer 2

(2^(-1))^(-x) +2^x=6
2^x+2*x=6=2*3
2*2^x=2*3
2^x=3
logaritmam in baza 2
x=log in baza 2 din3