Question

Tìm x biết : 3^x+2 + 3^x+1 + 3^x=1053.

Answer 1

3^x+3^(x+1)+3^(x+2)=1053 <=> 3^x+3^1*3^x+3^2*3^x=1053 
<=> (1+3^1+3^2)*3^x=1053 
<=>3^x= 1053/ (1+3+9) 
<=> 3^x=81 
=> x=4

Answer 2

3^x+2+3^x+1+3^x=1053

=> 3^x.(3²+3+1)=1053

=> 3^x.13=1053

=> 3^x=1053:13

=> 3^x=81

=> 3^x=3⁴

Vậy x=4.

Answer 3

 

 \(3^{x+2}+3^{x+1}+3^x=1053\) => \(3^x\left(3^2+3+1\right)=1053\Leftrightarrow3^x.13=1053\)

\(3^x=81\Leftrightarrow3^x=3^4\Leftrightarrow x=4\)