What is sqrt(x^{1-1/(lgx))} ?

The solution to sqrt(x^{1-1/(lgx))} is x^{(lxg-1)/(2lxg)}

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simplify sqrt(x^{1-1/(lgx))}

simplify

x^{1 - \frac{1}{l gx}}

x^{\frac{l xg - 1}{2 l xg}}

Solution steps

x^{1 - \frac{1}{l gx}}

Apply radical rule:

a = a^{\frac{1}{2}}

= (x^{1 - \frac{1}{l gx}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{(1 - \frac{1}{l gx}) \frac{1}{2}}

Simplify

(1 - \frac{1}{l gx}) \frac{1}{2} : \frac{l xg - 1}{2 l xg}

= x^{\frac{l xg - 1}{2 l xg}}

14.65 e^{- \frac{1}{5.38}}

- 2 x (2 1 - x^{2})

1.7 \cdot 1 0^{- 8} \cdot 120

(4 r^{5}) (2 r^{8})

22 e^{- 0.0866}

What is sqrt(x^{1-1/(lgx))} ?
The solution to sqrt(x^{1-1/(lgx))} is x^{(lxg-1)/(2lxg)}