1.

यदि `x^(xsqrt(x))=(xsqrt(x))^(x)` है तो `x` किसके बराबर है?A. `4/9`B. `2/3`C. `9/4`D. `3/2`

Answer» Correct Answer - C
`x^(xsqrt(x))=(xsqrt(x))^(x)`
`x^(xsqrt(x))=(x^(3/2))^(x)`
`x^(xsqrt(x))=x^(3/2 x)`
(if bases are same then their power is also same)
`:. xsqrt(x)=3/2x` or `sqrt(x)=3/2`
`x=(3/2)^(2)=9/4`


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