Question

Va rog pe 6 am nevoie va rog dau Corona ​

Answer 1

Răspuns:

n=0 , 1,2,3,4

pt a fi <pt fractie

Explicație pas cu pas:

Sper că te-am ajutat!

Answer 2

Răspuns: $\purple{\boxed{\bf ~n \in \{0,1,2,3,4\}}~}$

Explicație pas cu pas:

$\bf \dfrac{9^n}{27^4}<\dfrac{3^{10}}{81^3} ~\Leftrightarrow ~\dfrac{\big(3^2\big)^n}{\big(3^2\big)^4} <\dfrac{3^{10}}{\big(3^4\big)^3}$

$\bf \bf \dfrac{3^{2n}}{3^{2\cdot4}} ~<~\dfrac{3^{10}}{3^{4\cdot3}}~\Leftrightarrow ~\bf \dfrac{3^{2n}}{3^{12}} ~<~\dfrac{3^{\not10}}{3^{\not12}}$

$\bf \dfrac{3^{2n}}{3^{12}} ~<~\dfrac{3^{0}}{3^{2}}$

$\bf 3^{2n-12} ~<~3^{-2}$

$\bf 2n-12<-2$

$\bf 2n<-2+12$

$\bf 2n<10$

$\bf n<10:2$

$\bf n<5$

$\purple{\boxed{\bf ~n \in \{0,1,2,3,4\}}~}$

==pav38==