since there is not much more you can do to solve 6㏒₆3,, the only thing you need to do is calculate the approximate value. the correct answer to this question then would be 6㏒₆3 ≈ 3.67888
the first step to solve ㏒₃27[tex] 27^{ \sqrt{2} } [/tex] is to write the number in exponential form
㏒₃(3³)[tex] ^{ \sqrt{2}} [/tex]
using [tex] log_{a} [/tex] ([tex] a^{x} [/tex]) = x,, simplify the expression
[tex]3^{ \sqrt{2} } [/tex]
this means the correct answer for the second expression is [tex]3^{ \sqrt{2} } [/tex]
let me know if you have any further questions
:)