Question

log 2:0,30 log 3:0,48
log 8? log 64? alguém sabe alguma?

Answer 1

Sabemos que:

$log\ _2 = 0,30\\\ log\ _3 = 0,48\\\\\ log\ _8 = log\ _2^3\\\\\ log\ _8 = 3\ log\ _2\\\\ log\ _8 = 3(0,30)\\\\ \boxed{log\ _8 = 0,90}$

$log\ _6_4 = log\ 2^6\\\\ log\ _6_4 = 6\ log\ _2\\\\\ log\ _6_4 = 6(0,30)\\\\ \boxed{log\ _6_4 = 1,80}$