Question

numărul natural x care verifica 4^x+2 - 5*4^x este.... ​

Answer 1

Explicație pas cu pas:

4^(x+2)-5*4^x=44

4^x*16-5*4^x=44

4^x=44/11

4^x=4

x=1

Raspuns: B) corect

Bafta!

Answer 2

$4^{x}*4^{2}-5*4^{x}=44\\\\4^{x}(1*4^{2}-5*1)=44\\4^{x}(16-5)=44\\ \\4^{x}*11=44\\\\4^{x}=\frac{44}{11} \\\\4^{x}=4\\\\4^{x}=4^{1}\\\\=>x=1$