Question

tìm số nguyên x, nếu biết:

\(4^{x+3}-3.4^{x+1}=13.4^{11}\)

Ai nhanh mik tick 

Answer 1

\(4^{x+3}-3.4^{x+1}=13.4^{11}\)

\(16.4^{x+1}-3.4^{x+1}=13.4^{11}\)

\(\left(16-3\right).4^{x+1}=13.4^{11}\)

\(13.4^{x+1}=13.4^{11}\)

\(\Rightarrow x+1=11\)

\(x=10\)

Answer 2

\(4^{x+3}-3.4^{x+1}=13.4^{11}\)

=> \(4^{x+1}.\left(4^2-3\right)=13.4^{11}\)

=> \(4^{x+1}.\left(16-3\right)=13.4^{11}\)

=> \(4^{x+1}.13=13.4^{11}\)

=> \(x+1=11\)

=> \(x=11-1=10\)

Answer 3

\(4^{x+3}-3.4^{x+1}=13.4^{11}\Rightarrow4^{x+1}.4^2-3.4^{x+1}=13.4^{11}\Rightarrow4^{x+1}\left(4^2-3\right)=13.4^{11}\)

\(\Rightarrow4^{x+1}\left(16-3\right)=13.4^{11}\Rightarrow4^{x+1}.13=13.4^{11}\Rightarrow x+1=11\Rightarrow x=10\)

Answer 4

\(4^{X+3}-3.4^{X+1}=13.4^{11}\)

\(4^2.4^{X+1}-3.4^{X+1}=13.4^{11}\)

\(16.4^{X+1}-3.4^{X+1}=13.4^{11}\)

\(\left(16-3\right).4^{X+1}=13.4^{11}\)

\(13.4^{X+1}=13.4^{11}\)

\(\Rightarrow4^{X+1}=4^{11}\)

\(\Rightarrow X+1=11\)

\(X=11-1\)

\(X=10\)

\(Vay\)\(X=10\)