Решите пожалуйста неравенство:
[tex]( \frac{2}{3} ) ^{x} + (\frac{2}{3}) ^{x-1} \ \textgreater \ 2.5[/tex]
[tex]( \frac{2}{3} ) ^{x} + (\frac{2}{3}) ^{x-1} \ \textgreater \ 2.5[/tex]
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Verified answer
(2/3)^(x-1)*(2/3+1)>2,5(2/3)^(x-1)>5/2:5/3
(2/3)^(x-1)>3/2
x-1<-1
x<0
x∈(-∞;0)