Answer:
[tex]y=e^{3}*x^{2}[/tex]
Step-by-step explanation:
First, use reduction of power property:
[tex]log(x^{y} )=ylog(x)[/tex]
So:
[tex]log(y)=3+log(x^{2} )[/tex]
Cancel logarithms by taking exp of both sides:
[tex]e^{log(y)} =e^{3+logx^{2} }[/tex]
Keep in mind this:
[tex]x^{y} *x^{z} =x^{y+z}[/tex]
Hence:
[tex]y=e^{3} *e^{log(x^{2} )} =e^{3} *x^{2}[/tex]
