Question

pls tell me the answer of this question​

Answer 1

Answer:    X = 1

 

Step-by-step explanation:

Given equation - (x $\sqrt{x}$ )^x = (x)^x $\sqrt{x}$

                                    Taking log both side

=> log (x $\sqrt{x}$ )^x = log (x)^x $\sqrt{x}$

=> x.log x $\sqrt{x}$  = x $\sqrt{x}$ .logx                         ( x will get canceled both side )

=>  $\sqrt{x}$ .logx - log x = log $\sqrt{x}$

=> log x . (  $\sqrt{x}$  - 1 ) = log $\sqrt{x}$

=> log x / log $\sqrt{x}$  .  (  $\sqrt{x}$  - 1 ) = 0

=> 2  .(  $\sqrt{x}$  - 1 ) = 0

=>  $\sqrt{x}$ = 1

=> x = 1

Answer 2

good morning dear sis

please follo