What is sqrt(a^{log_{a\sqrt{a)}(121)}} ?

The solution to sqrt(a^{log_{a\sqrt{a)}(121)}} is a^{log_{asqrt(a)}(11)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(a^{log_{a\sqrt{a)}(121)}}

simplify

a^{l o g_{a a} (121)}

a^{l o g_{a a} (11)}

Solution steps

a^{l o g_{a a} (121)}

Apply radical rule:

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

= (a^{l o g_{a a} (121)})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{l o g_{a a} (121) \frac{1}{2}}

Simplify

lo g_{a a} (121) \frac{1}{2} : lo g_{a a} (11)

= a^{l o g_{a a} (11)}

e^{- \frac{0.9}{0.0259}}

20 \cdot e^{- 0.8 (0.9)}

e^{2} \cdot e^{m x}

e^{- 3 l n (x) c o s (x)}

What is sqrt(a^{log_{a\sqrt{a)}(121)}} ?
The solution to sqrt(a^{log_{a\sqrt{a)}(121)}} is a^{log_{asqrt(a)}(11)}