Задача 44557 2^(log_(2) x) * 5^(log_(2) x) = 1000...

vk543769178

2020-02-25 19:30:39

2^(log_(2) x) * 5^(log_(2) x) = 1000

sova

2020-02-25 19:48:35

По свойству степени

[r]a^(m)*b^(m)=(a*b)^(m)[/r]


(2*5)^(log_(2)x)=10^3

(10)^(log_(2)x)=10^3 ⇒ log_(2)x=3

x=2^3

x=[b]8[/b]- о т в е т