Question

[Đỗ Minh Châu]

Tìm x :
3.2^x+1 - 5.2¹³ = 7.2¹³

Answer 1

[Hquynh]

\(3.2^{x+1}-5.2^{13}=7.2^{13}\\ =>3.2^{x+1}=7.2^{13}+5.2^{13}\\ =>3.2^{x+1}=2^{13}\left(7+5\right)\\ =>3.2^{x+1}=2^{13}.12\\ =>2^{x+1}=2^{13}.4\\ =>2^{x+1}=2^{13}.2^2\\ =>2^{x+1}=2^{15}\\ =>x+1=15\\ =>x=14\)

Answer 2

[Vũ Đức Thịnh]

Ta có :

3.2^x+1-5.2¹³=7.2¹³

=> 3.2^x+1=7.2¹³+5.2¹³

=> 3.2^x+1=(7+5).2¹³

=> 3.2^x+1=12.2¹³

=> 2^x+1=4.2¹³

=> 2^x+1=2².2¹³

=> 2^x+1=2¹⁵

=> x+1=15

=> x=14