Question

Qual é o valor de:
Y= log7 3 × log3 7 × log11 5 × log5 11?

Answer 1

$y=\log_{7}3\cdot\log_{3}7\cdot\log_{11}5\cdot\log_{5}11\\\\y=\left( \dfrac{1}{\log_{3}7}\cdot\log_{3}7\right)\cdot\left(\dfrac{1}{\log_{5}11}\cdot\log_{5}11\right)\\\\y=1$

Answer 2

Y= log7 3 × log3 7 × log11 5 × log5 11

Y=1log11(5) log 5(11)

Y=1