1.U (2^42)=U(2²)=4
2(3^42)=U(3²)=9
U(4+9)=U(13)=3
raspuns corect B
2.
2(0+1+2+...+9)+1+1+...+1(10de 1)= 2*9*10/2+10=9*10+19+10*10=10²
patrat perfect Raspuns corect A
3.
3 ^ (z+1)>729=3^6
z+1>6
z>5
z∈N, z=6
raspuns corect D
4.
x= 4^38 *3^38 :4^38-(3²)^19 +9 +1=
3^38-3^38 +9+1=0+10=10
raspuns corect C
III
a)2*2*2*2=2^4 a⇆5
b) 2^2016(1+2)=3*2^2016 ⇒ x=3 b⇄4
c)4^x (1=4)=80
5* 4^x=80
4^x=80:5=16
4^x=4²
x=2 c⇄3
d) 3 ^ (45-30) +x= 3^ (7+8)
3^15+x=3^15
x=3^15-3^15 =0 d⇄1
