Question

PLZ SOLVE IT FAST!!​

Answer 1

Answer:

x = 2⁹ = 512

Step-by-step explanation:

$\displaystyle{}\quad\log_22x-\log_{2^3}x^2=2^2\\\\\Rightarrow\log_22+\log_2x-\frac{\log_2x^2}{\log_22^3}=4\\\\\Rightarrow1+\log_2x-\frac{2\log_2x}{3}=4\\\\\Rightarrow\tfrac13\log_2x=3\\\\\Rightarrow\log_2x=9\\\\\Rightarrow x=2^9=512$