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d1i1m1o1n [39]
3 years ago
14

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

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

  • x = 9/4

Step-by-step explanation:

  • x^{x\sqrt{x} }=(x\sqrt{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

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