Question

solve 1,296^2 = 216^n+10

Answer 1

@waterineyes i dont think its a quadratic equation ..
\[1296^{2} - 10 = 216^{n}\]
taking log on both side
\[\ln (1296^{2}-10)=\ln (216^{n})\]

Answer 2

Oh sorry..

Answer 3

\[1296^2 = 216^n + 10\]
\[1679616 - 10 = 216^n\]

Taking Log both the sides,
\[Log(1679606) = Log(216)^n\]
\[6.225 = n \times Log(216)\]
\[6.225 = n \times 2.334\]

\[n = \frac{6.225}{2.334}\]

\[\huge \color{Cyan}{n = 2.67}\]