Question

Tim x biet ( x-3)^4 = 16

4^(x-3) = 16

Answer 1

(x-3)^4=4^4 x-3=4 x=1 4^(x-3)=4^4 X-3=4 X=1

Answer 2

(x - 3)⁴ =16

=> 2⁴ = 16

=> x- 3 = 2

=> x = 5

4^(x-3) =16

=> 4² = 16

=> x-3 = 2 

=> x = 5

Answer 3

(x - 3)⁴ = 16

(x - 3)⁴ = 2⁴ = (-2)⁴

=> \(\orbr{\begin{cases}x-3=2\\x-3=-2\end{cases}}\)=> \(\orbr{\begin{cases}x=5\\x=1\end{cases}}\)

4^x-3 = 16

4^x-3 = 4²

=> x - 3 = 2

=> x = 2 + 3

=> x = 5

Answer 4

a, \(\left(x-3\right)^4=16\)

\(\Leftrightarrow\left(x-6\right)^4=\left(\pm2\right)^4\)

\(\Leftrightarrow\hept{\begin{cases}x-6=2\\x-6=-2\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}x=8\\x=4\end{cases}}\)

 Vậy \(x\in\left\{4;8\right\}\)

b, \(4^{x-3}=16\)

\(\Leftrightarrow4^{x-3}=4^2\)

\(\Leftrightarrow x-3=2\)

\(\Leftrightarrow x=2+3=5\)

   Vậy \(x=5\)