Question

Comparati numerele: 2^45 si 3^30

Answer 1

$2^{45}= ( 2^{3}) ^{15}= 8^{15} \\ 3^{30}= (3^2)^{15}= 9^{15}$
deci aveem de comparat $8^{15}cu 9^{15} \\ 8^{15}\ \textless \ 9^{15}$
deci $2^{45}\ \textless \ 3^{30}$