find number of solutions of x

Mar 2010
52
1
find number of solutions of x ..where x belongs to real number for which
\(\displaystyle 64^{\frac{1}{x}} + 48^{\frac{1}{x}} = 80^{\frac{1}{x}}\)
 

Ackbeet

MHF Hall of Honor
Jun 2010
6,318
2,433
CT, USA
Try factoring each number as a multiple of 8. You might get some cancellation there.