mdejazulhaque1972 mdejazulhaque1972

17-10-2021
Mathematics

contestada

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

Respuesta :

mhanifa mhanifa

17-10-2021

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]

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