Question

Ajutati-ma va rog frumos:
Sa se rezolve in R ecuatia:
2^(x+1)+2^x=192

Answer 1

2^(x+1)+2^x=192 ⇒ 2^x(2+1) =192 ⇒ 2^x ·3 = 192 ⇒ 2^x = 64 ⇒x=6

Answer 2

$\displaystyle 2^{x+1}+2^x=192 \\ 2^x \cdot 2^1+2^x=192 \\ 2^x(2+1)=192 \\ 2^x \cdot 3=192 \\ 2^x= \frac{192}{3} \\ 2^x=64 \\ 2^x=2^6 \\ x=6$