Answer:
x = 50
Step-by-step explanation:
[tex]\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-2[/tex]
[tex]\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-\log _{10}\left(100\right)[/tex]
[tex]\log _{10}\left(x\right)=\log _{10}\left(\frac{2x^2}{100} \right)[/tex]
[tex]x = \frac{2x^2}{100}[/tex]
[tex]100x=2x^2[/tex]
[tex]x^2 = 50x[/tex]
[tex]x = 50[/tex]
