Question

Rezolvati ecuatia (2 x 9 $)^{24}$ = $2^{24}$ x $3^{n}$

Answer 1

(2x3²)²⁴= x 
(2¹x3²)²⁴= x  avem aceeasi baza lucram cu exponentii
1x48=24xn
n=48/24
n=2

Answer 2

⇔$2^{24}* 9^{24}= 2^{24}*3^{n}$
⇔$2^{24}* 3^{(2*24)}= 2^{24}* 3^{n}$
⇔$2^{24}* 3^{48}= 2^{24}* 3^{n}$
⇒n=48