Question

evaluate
3powerlog7 base 3

Answer 1

$\boxed{ \huge \red{\mathfrak{solution}}}$

To evaluate the value of

$\huge\bold{{3}^{ log_{3}(7) } }$

Formula used here :

•

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

•

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

so .

$\rightarrow \: {3}^{ log_{3}(7) } \\ \\ \rightarrow \: {7}^{ log_{3}(3) } \\ \\ \rightarrow \: {7}^{1} \\ \\ \rightarrow \: 7$

Hence the value is

$\green{ \boxed{ \bold{\huge {\mathfrak{7}}}}}$

Answer 2

hope this helps you....