Solve Log Problem: n^6 = log_2n(1944) = log_n(486√2)

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Homework Statement


If log[tex]_{}2n[/tex](1944) = log[tex]_{}n[/tex](486[tex]\sqrt{}2[/tex]) then evaluate n^6

P.S the 2n and n are subscripts.

Homework Equations



log base b(a) = c is the same as a^c = b

The Attempt at a Solution



I tried converting log base 2n to log base n but I ended up nowhere.
 
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Try converting them to either base 10 or to the base of e.