Project ID:
7200020051
Accepted:
Typ:
Layout:
Question:
Priraďte ku exponenciálnej rovnici jej riešenie.
Questions Title:
Rovnica:
Answers Title:
Riešenie:
Question 1:
$$ \left(\frac25\right)^x=6{,}25$$
Answer 1:
$x=-2$
Question 2:
$$\left(\frac32\right)^x=2{,}25$$
Answer 2:
$x=2$
Question 3:
$$ \left(\frac52\right)^{-2x}=0{,}16$$
Answer 3:
$x=1$
Question 4:
$$ \left(1{,}5\right)^{x-1}=\left(\frac8{27}\right)^{x+1}$$
Answer 4:
$x=-\frac12$
Question 5:
$$ \left(2{,}5\right)^{4-x}=\left(\frac4{25}\right)^{x+1}$$
Answer 5:
$x=-6$
Question 6:
$$\left(0{,}75\right)^{x-7}=\left(\frac{16}9\right)^{x-4}$$
Answer 6:
$x=5$
Question 7:
$$ \left(0{,}6\right)^{x+3}=\left(\frac{25}9\right)^{7-x}$$
Answer 7:
$x=17$
Question 8:
$$ \left(0{,}5\right)^{-x+2}=16$$
Answer 8:
$x=6$