Question

Dados log 2=0,30,log 3=0,48,log 5=0,70 e log 7=0,85, quanto vale:
a) log 25
b) log 4000
c) log 27000
d),log=14,4
e) log 15

Answer 1

$a)log25 = log5*5\\ log25 = log5 + log5 = 1,4\\ b)log4000 = log1000*2*2\\ log4000= log1000 + 2log2 = 3,6\\ c)log27000 = log1000*3*3*3\\ log27000 = log1000 + 3log3 = 4,44\\ d)log14,4 = log144/10 = log12^2/10 = 2log12 - log10\\ 2log3*2*2 - log10 =2log3 +4log2 - log10 = 1,16\\ e)log15 = log3*5 = log3 +log5 = 1,18$

Answer 2

a) log(5.5)=
log5 + log5= 0,7+0.7= 1,4

b) log(50.60)
Log(5.2.5) + log(5.2.2.2.2)
Log5 + log2+ log5+log5+ 4log2
0,7+0,3+0.7+0.7+4.0,3= 3,6


c)log(2.3.5.2.3.5.5.3.3)
log 2+ log3+ log5+log2+log3+log5+log5+log3+log3=
0,3+0.48+0,7+0,3+0,48+0,7+0,7+0,48+0.48= 4,62

d)17log7

e)log(5.3)
Log5 +log3= 1,18