Simple logarithms #1

Algebra Level 2

For a,bR+ a, b \in \mathbb{R}^+ and >1 >1 ,

alogabblogba= ? \Huge { \color{#D61F06}{a} }^{ \sqrt { \log _{ \color{#D61F06}{a} }{ \color{#3D99F6}{b} } } }-{ \color{#3D99F6}{b} }^{ \sqrt { \log _{ \color{#3D99F6}{b} }{ \color{#D61F06}{a}} } }= \ ?

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