Question

determinati nr nat X care verifica egalitatile:

a) 3^x⁺²-5·3^x=36
b) 2⁵¹+2⁵²+2⁵³=x·2⁵⁰

Answer 1

[tex]\displaystyle a) 3^x(3^2-5)=36=>3^x\cdot 4=36=>3^x=9=>3^x=3^2=>x=2\\ b)2^{51}(1+2+2^2)=x\cdot 2^{50}\\ 2^{51}\cdot 7=x\cdot 2^{50}\\ x= \frac{2^{51}\cdot 7}{2^{50}} \\ x=2\cdot7\\ x=14[/tex]Scrie răspunsul tău aici