number of real roots of the equation
$11^x+13^x+17^x-19^x=0$.
I don't remember similar questions done. Since this is not a polynomial equation.
2026-04-08 00:46:30.1775609190
number of real roots of the equation?
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HINT
Rewrite it as $$\left(\frac{11}{19}\right)^x+ \left(\frac{13}{19}\right)^x+ \left(\frac{17}{19}\right)^x=1$$
What can you say abou the function on the left-hand side?