en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

x

Solution steps

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

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

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

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

Apply log rule:

a^{l o g_{a} (b)} = b

= x

Popular Examples

simplify (\sqrt[5]{3k})^8 simplify

simplify \sqrt[3]{x^{2/3}}simplify

simplify 3(3)^3e^{-3}simplify

3 (3)^{3} e^{- 3}

simplify a^2\sqrt[3]{a^2}simplify

simplify e^{-5x}*e^{-5x}simplify

e^{- 5 x} \cdot e^{- 5 x}

Frequently Asked Questions (FAQ)

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