Решите уравнение: (2*(2/3)^(x-1))-(4*(3/2)^x+1) = 0

Question

Решите уравнение: (2*(2/3)^(x-1))-(4*(3/2)^x+1) = 0

Answer 1

 

(2*(2/3)^{x-1})-(4*(3/2)^x+1) = 0    

  6^{-x}(3*2^x-4*3^x)(2^x+3^x)=0     

6^{-x}(3*4^x-6^x-4*9^x)=0 3*2^x=4*3^x     

x=log(2)-log(3)/log(2)-log(3)[/tex][/tex]

 

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