Задача 13485 4^x-3^(x-1/2) = 3^(x+1/2)-2^(2x-1)...

catman696966

05.02.2017

4^x-3^(x-1/2) = 3^(x+1/2)-2^(2x-1)

SOVA

05.02.2017

★

4^x+2^(2x-1)=3^(x+(1/2))+3^(x-(1/2))
4^x+4^x*2^(-1)=3^(x+(1/2))+3^(x-(1/2))
4^x*(1+(1/2))=3^(x-1/2)*(3+1)
4^x*(3/2)=3^(x)*3^(-1/2)*4
4^(x-1)=3^(x-1)*sqrt(4/3)
(4/3)^(x-1)=(4/3)^(1/2)
x-1=1/2
x=3/2