The number of roots of the equation 3 x^ _ 5 2 +2^ _ 5 x =64 is

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

The number of roots of the equation
\(3 x^{\log _{5} 2}+2^{\log _{5} x}=64\) is
  1. 0
  2. 1
  3. 2
  4. 3

Answer

(B) 1

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