👤
Tukipukilol
a fost răspuns

Determinati nr nat a si b pentru care se verifica egalitatile:
a) 2^12:2^a=2^5
b)3^2×3^4:3^b=3
c)7^24=(7^a)^b
d)5^5:(5^b×5^a)=5^3
Pls, help, dau coroana!

Răspuns :

Danaradu70
a) 2^(12-a)=2^5
12-a=5
a=12-5
a=7
b) 3^6:3^b=3
3^(6-b)=3^1
6-b=1
b=6-1
b=5
c) 7^24=7^(a*b)
a*b=24
Exista ca solutii :
(a,b)∈{(1,24), (2,12), (3,8), (4,6), (6,4, (8,3), (12,2), (24,1)}
d) 5^5:[5^(b+a)]=5^3
5^[5-(b+a)]=5^3
5-(b+a)=3
b+a=2
(a,b)∈{(2,0),(1,1), (0,2)}

Alte intrebari