plz help me sir steve

3x^2=x^x

find x step plz too hard

2 answers

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
Confirming Steve's answer, using Wolfram

http://www.wolframalpha.com/input/?i=3x%5E2%3Dx%5Ex