Question

4¹¹ nhân 25¹¹ < 2^x nhân 5^x < 20¹² nhân 5¹²

Answer 1

\(4^{11}.25^{11}<2x.5^x<20^{12}.5^{12}\)\(\Leftrightarrow x=23\)

Answer 2

\(4^{11}.25^{11}<2^x.5^x<20^{12}.5^{12}\)

=> \(\left(4.25\right)^{11}< \left(2.5\right)^x<\left(20.5\right)^{12}\)

=> \(100^{11}<10^x<100^{12}\)

=> \(10^{22}<10^x<10^{24}\)

=> 22 < x < 24

=> x = 23.

Answer 3

\(4^{11}.25^{11}<2^x.5^x<20^{12}.5^{12}\)  

\(\Rightarrow100^{11}<10^x<100^{12}\) 

\(\Rightarrow10^{22}<10^x<10^{24}\) 

\(\Rightarrow x=23\)