Question

Tim so tu nhien x , biet :

a) 2^x + 2^{x + 3} =144

b) 3^{2x + 2} = 9^{x + 3}

c) 100 < 5^{2x - 1} <\ 5⁶

Chu giai : <\ : be hon hoac bang .

                x ko phai la dau nhan .

Ai lam duoc nho ket ban voi minh nhe! 

 Goodbye and Thank you very much !

Answer 1

2^X+2^X+3=144

\(\Rightarrow2^X.1+2^X.2^3=144\)

\(\Rightarrow2^X.\left(1+8\right)=144\)

\(\Rightarrow2^X.9=144\)

\(\Rightarrow2^X=144:9\)

\(\Rightarrow2^X=16\)

\(\Rightarrow X=4\)

Vậy x=4

Answer 2

Thank you very much !