Question

tìm x biết :

2^x.(-2)^2.x.8^x=4⁶

Answer 1

ta có 2^x.(-2)^2x.8^x=4⁶

=>2^x.(-2)^2x.8^x=2¹²

=>2^x+2x+3x=2¹²

=>x+2x+3x=12

=>6x=12

=>x=2 

vậy.......

Answer 2

\(2^x.\left(-2\right)^{2.x}.8^x=4^6\)

\(\Rightarrow2^x.2^{2.x}.\left(2^3\right)^x=\left(2^2\right)^6\)

\(\Rightarrow2^x.2^{2x}.2^{3x}=2^{12}\)\(\Rightarrow2^{6x}=2^{12}\Rightarrow6x=12\Rightarrow x=2\)

Vay x=2