Question

Aplique as propriedades e resolva os logaritmos: a) log6 36.216= b) log5 25/625

Answer 1

a) log6 36 * 216
36 = 6^2
216 = 6^3

log6 36 * 216
log 6 36 + log6 216
log6 (6^2) + log6 (6^3)
2log6 6 + 3log6 6
(2 * 1) + (3 * 1) = 2 + 3 = 5

b) log5 25/625
25 = 5^2
625 = 5^4

log5 25/625
log5 25 - log5 625
log5 (5^2) - log5 (5^4)
2log5 5 - 4log5 5
(2 * 1) - (4 * 1) = 2 - 4 = - 2