16x < 1284
(2x)4 < (27)4
2x < 27
x < 7
x thuộc N
x thuộc {0 ; 1 ; 2 ; 3 ; 4 ; 5 ; 6}
Chúc bạn học tốt ^^
\(16^x< 128^4\)
\(\Rightarrow\left(2^x\right)^4< \left(2^7\right)^4\)
\(\Rightarrow2^x< 2^7\)
\(\Rightarrow x< 7\)
\(\Rightarrow x\in\left\{0;1;2;3;4;5;6\right\}\)
\(^{16^x}\)<\(^{128^4}\)
\(\Rightarrow\)\(\left(^{ }2^4\right)^x\)<\(\left(^{ }2^7\right)^4\)
\(\Rightarrow\)\(2^{4.x}< 2^{7.4}\)
\(\Rightarrow2^{4.x}< 2^{28}\)
\(\Rightarrow4.x< 28\)
\(\Rightarrow4.x=0;4;8;12;16;20;24\)
\(\Rightarrow x=0;1;2;3;4;5;6\)
