Question

Solve this in a step by step analysis please.
$x^{x} = 10000$
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Answer 1

We can write 10000 as

$\bold{{100}^{100}}$

We are writing the right hand side that is 10000 in this form because only in this case base and power are same.

As, in left hand side base and power are same that is both are equals to x.

After this by comparing both side we can easily calculate the value of x

As,

ACCORDING TO QUESTION:-)

${x}^{x}=10000 \\{{x}^{x} = {100}^{100} \\ \implies x = 100}$