What is sqrt(2^{log_{5)(x)}} ?

The solution to sqrt(2^{log_{5)(x)}} is 2^{(log_{5}(x))/2}

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simplify sqrt(2^{log_{5)(x)}}

simplify

2^{l o g_{5} (x)}

2^{\frac{l o g _{5} ( x )}{2}}

Solution steps

2^{l o g_{5} (x)}

Apply radical rule:

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

= (2^{l o g_{5} (x)})^{\frac{1}{2}}

Apply exponent rule:

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

= 2^{l o g_{5} (x) \frac{1}{2}}

Simplify

lo g_{5} (x) \frac{1}{2} : \frac{lo g _{5} ( x )}{2}

= 2^{\frac{l o g _{5} ( x )}{2}}

e^{(- 15 x)} e^{(- 11)}

0.01827 \cdot 9.68 \cdot 1 0^{- 3}

(5.1 \cdot 1 0^{- 4}) \cdot (0.05)

2 (5) e^{- 5}

- 4 (0.5)^{- 1}

What is sqrt(2^{log_{5)(x)}} ?
The solution to sqrt(2^{log_{5)(x)}} is 2^{(log_{5}(x))/2}