Question

2^x+4= 2¹⁵-2¹⁴-2¹³

Giúp tớ với ạ

Answer 1

\(2^{x+4}=2^{15}-2^{14}-2^{13}\)

\(2^{x+4}=2^{13}\left(2^2-2-1\right)\)

\(2^{x+4}=2^{13}\)

\(x+4=13\)

\(x=9\)

Answer 2

\(2^{x+4}=2^{15}-2^{14}-2^{13}\)

\(\Rightarrow2^{x+4}=2^{13}.\left(2^2-2^1-1\right)\)

\(\Rightarrow2^{x+4}=2^{13}.1=2^{13}\)

\(\Rightarrow x+4=13\)

\(\Rightarrow x=13-4=9\)

Answer 3

2 mũ 15 -2 mũ 14-2 mũ 13 =8192 nên 2 mũ x+4=2 mũ13

13-4=9 suy ra x=9