Question

Question ❓:-
x^(x√x)=(x√x)^x,find the value of x​

Answer 1

• x = 9/4

Explanation:

• 
  `x^(x√(x) )=(x√(x) )^x`
• 
  `x^{x*x^(1/2) }={(x*x^(1/2) })^x`
• 
  `x^{x^(3/2) }=x^(3/2x)`
• 
  `x^(3/2)=3/2x`
• 
  `x^(3/2-1) = 3/2`
• 
  `x^(1/2)=3/2`
• 
  `x = (3/2)^2`
• 
  `x = 9/4`