РЕШИТЕ УРАВНЕНИЕ 4^x-10*2^x+16<0

Question

РЕШИТЕ УРАВНЕНИЕ 4^x-10*2^x+16<0

Comments

*Неравенство)

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это неравенство

Answer 1

Решите задачу:

Answer 2

2} \atop {t<8}} \right \\ \left \{ {{2^x>2} \atop {2^x<8}} \right \\ \left \{ {{2^x>2^1} \atop {2^x<2^3}} \right \\ \left \{ {{x>1} \atop {x<3}} \right \\ x \in(1;3)" alt="(2^x)^2-10*2^x+16<0 \\ 2^x=t \\ t^2-10t+16<0 \\ D=100-4*16=36 \\ t_1=8;t_2=2 \\ (t-2)(t-8)<0 \\ t \in (2;8) \\ \left \{ {{t>2} \atop {t<8}} \right \\ \left \{ {{2^x>2} \atop {2^x<8}} \right \\ \left \{ {{2^x>2^1} \atop {2^x<2^3}} \right \\ \left \{ {{x>1} \atop {x<3}} \right \\ x \in(1;3)" align="absmiddle" class="latex-formula">

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