Задача 41851 ...

vk505363108

2019-11-24 12:02:46

При каком значении x верно равенство (49\16) ∧ x+1=(4\7)∧9
Если x=4;3,5;-5,5.

sova

2019-11-24 12:36:04

[m]\frac{49}{16}=(\frac{7}{4})^{2}[/m]

[m](\frac{49}{16})^{x+1}=(\frac{7}{4})^{2(x+1)}[/m]

[m](\frac{4}{7})^{9}=(\frac{7}{4})^{-9}[/m]


[m](\frac{49}{16})^{x+1}=(\frac{4}{7})^{9}[/m]

[m](\frac{7}{4})^{2(x+1)}=(\frac{7}{4})^{-9}[/m]

2(x+1)=-9

x+1=-4,5

x=[b]-5,5[/b]

О т в е т. -5,5