Question

Urgent va roggg dau coroana ​

Answer 1

Explicație pas cu pas:

a)

${2}^{n} < 132$

${2}^{7} = 128 < 132 < 256 = {2}^{8}$

$\implies 0 \leqslant n \leqslant 7$

b)

${3}^{n} < 60$

${3}^{3} = 27 < 60 < 81 = {3}^{4}$

$\implies 0 \leqslant n \leqslant 3$

c)

$42 < {2}^{n} < 300$

${2}^{5} = 32 < 42 < 64 = {2}^{6} \\ {2}^{8} = 256 < 300 < 512 = {2}^{9}$

$\implies 6 \leqslant n \leqslant 8$

d)

$90 < {5}^{n} < 400$

${5}^{2} = 25 < 90 < 125 = {5}^{3} \\ {5}^{3} = 125 < 400 < 625 = {5}^{4}$

$\implies n = 3$