Question

$4^{23} x-32 ^{9}x =16 ^{4} *(4 ^{4} ) ^{4}$
rezolvati multimea R ecuatiea dar sa aiba rezolvarea

Answer 1

 4²³=(2²)²³=2⁴⁶
32⁹=(2⁵)⁹=2⁴⁵
16⁴=(4²)⁴=4⁸
(4⁴)⁴=4¹⁶
2⁴⁶x-2⁴⁵x=4⁸×4¹⁶
2⁴⁵x(2-1)=4²⁴
2⁴⁵x=(2²)²⁴
2⁴⁵x=2⁴⁸=>x=2⁴⁸:2⁴⁵=>x=2³=>x=8