Answer :
Answer:
- x = 9/4
Step-by-step explanation:
- [tex]x^{x\sqrt{x} }=(x\sqrt{x} )^x[/tex]
- [tex]x^{x*x^{1/2} }={(x*x^{1/2} })^x[/tex]
- [tex]x^{x^{3/2} }=x^{3/2x}[/tex]
- [tex]x^{3/2}=3/2x[/tex]
- [tex]x^{3/2-1} = 3/2[/tex]
- [tex]x^{1/2}=3/2[/tex]
- [tex]x = (3/2)^2[/tex]
- [tex]x = 9/4[/tex]