Question

[cao vũ thúy anh]

4 mũ x chia 2 mũ 6 = 2 mũ 8

Answer 1

[HT.Phong (9A5)]

\(4^x:2^6=2^8\)

\(\Rightarrow\left(2^2\right)^x:2^6=2^8\)

\(\Rightarrow2^{2x}:2^6=2^8\)

\(\Rightarrow2^{2x-6}=2^8\)

\(\Rightarrow2x-6=8\)

\(\Rightarrow2x=14\)

\(\Rightarrow x=\dfrac{14}{2}\)

\(\Rightarrow x=7\)

Answer 2

[Nguyễn Khánh Chi Mai]

$4^x:2^6=2^8$

$\Rightarrow {\left(2^2\right)}^x:2^6=2^8$

$\Rightarrow 2^{2x}:2^6=2^8$

$\Rightarrow 2^{2x-6}=2^8$

$\Rightarrow 2x-6=8$

$\Rightarrow 2x=14$

$\Rightarrow x=\genfrac{}{}{0ex}{}{14}{2}$

$\Rightarrow x=7$