Question

Tìm x, biết: \(5.3^x=8.3^9+7.27^3\)

 

Answer 1

Giang ho dai ca viet nham nhé:

\(5.3^x=8.3^9+7.27^3\)

<=> \(5.3^x=8.3^9+7.\left(3^3\right)^3\) <=> \(5.3^x=8.3^9+7.3^9\)

<=> \(5.3^x=15.3^9\) <=> \(3^x=3.3^9=3^{10}\) => x = 10

Answer 2

nhầm chỉnh lại :

\(5.3^x=8.3^9+7.27^3\Rightarrow5.3^x=8.3^9+7.3^9=15.3^9\Rightarrow15.3^{x-1}=15.3^9\Rightarrow3^{x-1}=3^9\Rightarrow x-1=9\Rightarrow x=10\)

Answer 3

Có 5.3^x=8.3^9+7.27^3

=>5.3^x=8.3^9+7.(3^3)^3

=>5.3^x=8.3^9+7.3^9

=>5.3^x=3^9.(8+7)

=>5.3^x=3^9.15

=>3^x=3^9.15:5

=>3^x=3^9.3

=>3^x=3^10

=>x=10

Vậy x=10