By inspection, it should be clear that
3*3^2 = 3^3
There is another solution, at about
x = 0.4844
but you won't arrive at it algebraically. You can tell that
3 * 1/4 ≈ √(1/2)
0.7500 ≈ 0.7071
plz help me sir steve
3x^2=x^x
find x step plz too hard
2 answers
Confirming Steve's answer, using Wolfram
http://www.wolframalpha.com/input/?i=3x%5E2%3Dx%5Ex
http://www.wolframalpha.com/input/?i=3x%5E2%3Dx%5Ex