Question

If xx3/2 = (x3/2)x, then the value of x is _____.​

Answer 1

Step-by-step explanation:

Given If x^x^3/2 = (x3/2)^x, then the value of x is

• Given x^x^3/2 = (x^3/2)^x
• So x^x^3/2 = x^3/2x
• Since bases are same exponents are equal.
• So x^3/2 = 3/2 x
• So x^3/2 – 3/2 x = 0
• Now taking x as common we get
• So x(x^1/2 – 3/2) = 0
• Now x = 0, or x = x^1/2 = 3/2
• Now √x = 3/2  
• Or x = (3/2)^2
• Or x = 9/4

Reference link will be

https://brainly.in/question/4401198

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Answer 2

Answer:

9/4

Step-by-step explanation:

x^x^3/2=x^3/2^x

Since bases are same exponents are equal

so,x^3/2=3/2x

x^3/2-3/2x=0

now taking x as common we get,

x(x½-3/2)=0

now, x=x½=3/2

now ,rootx=3/2

or,x=(3/2)²

x=9/4