Question

16/2^x=2

Answer 1

\(\left(\dfrac{16}{2}\right)^x\) hay \(\dfrac{16}{2^x}\)??

Answer 2

\(\left(\dfrac{16}{2}\right)^x=2\)

<=> \(\dfrac{16^x}{2^x}=2\)

<=> 16^x : 2^x = 2

<=> (2⁴)^x : 2^x = 2

<=> 2^4x : 2^x = 2

<=> 2^3x = 2

<=> 3x = 1

<=> \(x=\dfrac{1}{3}\) (loại)

Vậy nghiệm của PT là \(S=\varnothing\)

Answer 3

\(\dfrac{16}{2^x}=2\Leftrightarrow\dfrac{16}{2}=2^x\Leftrightarrow8=2^x\Leftrightarrow2^x=2^3\Leftrightarrow x=3\)