Question

determinati nr nat x care verifica egalitatile: 2(la puterea x) *2 (la puterea 5)=2 (la puterea 13)

Answer 1

2^x·2⁵=2¹³
2^(x+5)=2¹³
x+5=13
x=13-5
x=8

Answer 2

Avem proprietatea:

$a^m*a^n=a^{m+n}$

Aplicam pentru ecuatia data:

$2^x*2^5=2^{13} \ \textless \ =\ \textgreater \ 2^{x+5}=2^{13}$

$x+5=13 =\ \textgreater \ x=8$