Question 1114455
In case these steps do not show well, see the pure text using the Show Source  hyperlink:


{{{3^(x-1)*(3^2)^(3/(2x^2))=3^3}}}


{{{3^(x-1)*3^(2*(3/(2x^2)))=3^3}}}


{{{3^(x-1)*3^(3/(x^2))=3^3}}}


{{{3^(x-1+3/x^2)=3^3}}}
Same base of 3 on both sides.


{{{x-1+3/x^2=3}}}
You can continue from here.

.

.

.