Question

Find the value of
$\huge {5.8}^{ log_{5.8}(10 + 1 ) }$
​

Answer 1

$\huge \orange{\mathfrak{solution}}$

To find :

$\leadsto \: {5.8}^{ log_{5.8}(10 + 1) } \\ \\ \leadsto \: (10 + 1) ^{ log_{5.8}(5.8) } \\ \\ \leadsto \: 11 ^{1} \\ \\ \leadsto \: 11$

Formula used :

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$\huge \boxed{ \green{ \bold{log_{x}(x) = 1}}}$

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$\huge \boxed{ \red{\bold{x ^{ log_{x}(y) } = {y}^{ log_{x}(x) } }}}$