Question

2 mũ x+2 mũ x+3=144

Answer 1

\(2^x+2^{x+3}=144\)

\(\Rightarrow2^x+2^x.2^3=144\)

\(\Rightarrow2^x.\left(1+2^3\right)=144\)

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

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

\(\Rightarrow2^x=16\)

\(\Rightarrow2^x=2^4\)

\(\Rightarrow x=4\)

Vậy x = 4

_Chúc bạn học tốt_

Answer 2

\(2^x+2^{x+3}=144\)

\(\Leftrightarrow2^x+2^x\cdot2^3=144\)

\(\Leftrightarrow2^x+2^x\cdot8=144\)

\(\Leftrightarrow2^x\left(1+8\right)=144\)

\(\Leftrightarrow2^x\cdot9=144\)

\(\Leftrightarrow2^x=144:9\)

\(\Leftrightarrow2^x=16\)

\(\Leftrightarrow2^x=2^4\)

\(\Leftrightarrow x=4\)

Vậy x=4

Answer 3

Ta có :2^x+2^x+3 =144 <=> 2^x+ 2^x * 2³=144

<=> 2^x  *   ( 1+2³)=144

<=> 2^x = 144/9 =16 = 2⁴

=> x=4