Question

Comparati 2 la puterea 55 cu 25 la puterea 12. Urgent!! Si explicatie va rog!

Answer 1

PASI DE REZOLVARE
$2 ^{55} < 25 {}^{12}$
Simplifica expresia
$log \: 25(2 {}^{55} ) < log25(25 {}^{12} )$
CALCULEAZA LOGARITMUL
$55log \: 25(2) < 12log25(25)$
INMULTESTE NUMERELE
$11.84361 < 12 \times 1$
VERIFICA INEGALITATEA
$11.84361 < 12 \\ = > 2 {}^{55} < 25 {}^{12}$