vb4

vb 4
4^x = 3*2^x+10
(2^2)^x-3*2^x-10= 0
(2^x)^2-3*2^x-10= 0
Stel 2^x = p
p^2-3p-10 = 0
(p+2)(p-5)= 0
p=-2 v p=5
2^x=-2 v 2^x=5
Kn x=2log(5)
vb 4
4^x = 3*2^x+10
(2^2)^x-3*2^x-10
= 0
(2^x)^2-3*2^x-10
= 0
Stel 2^x = p
p^2-3p-10 = 0
(p+2)(p-5)= 0
p=-2 v p=5
2^x=-2 v 2^x=5
Kn x=2log(5)