Question

6 si 7 va rog! Dau coroana si inima.​

Answer 1

Răspuns:

6. a) 10<3ⁿ<2017

3²=9<10 3³=27; 3⁴=81; 3⁵=243; 3⁶=729; 3⁷=2187 >2017 ⇒ n∈{3, 4, 5, 6}

b) 10<2ⁿ<2017

2²=4<10 2³=<10; 2⁴=16; 2⁵=32; 2⁶=64; 2⁷=128; 2⁸=256; 2⁹=516; 2¹⁰=1024; 2¹¹=2048>2017 ⇒ n∈{4, 5, 6, 7, 8, 9, 10}

c) 10<5ⁿ<2017

5²=25; 5³=125; 5⁴=625; 5⁵=3152>2017 ⇒ n∈{2, 3, 4}

7. a) u(2⁸)=u(2⁴ⁿ)=6

b) u(3⁸)=u(3⁴ⁿ)=1

c) u(8⁸)=5

d) u(5²⁰³+6²³⁵+8⁴²⁹)=u(5+6+8⁴ⁿ⁺¹)=u(5+6+8)=9

e) u(2²⁰¹¹)=u(2⁴ⁿ⁺³)=8

f) u(7²⁰¹¹)=u(7⁴ⁿ⁺³)=3

g) u(3²⁰¹¹+4²⁰¹¹)=u(3⁴ⁿ⁺³+4²ⁿ⁺¹)=u(7+4)=1

h) u(7²⁰⁰³+8²⁰⁰⁷+9²⁰¹¹)=u(7⁴ⁿ⁺³+8⁴ⁿ⁺³+9²ⁿ⁺¹)=u(3+6+9)=8

Explicație pas cu pas: