Question

Dados log 2 = 0,301 e log 3 = 0,477 e log 5 = 0,70, calcule:
a) log 20
b) log 0,0002
c) log 0,3
d) log 18
e) log 45
f ) log 250

Answer 1

a)
log20 = log2.10 
log2.10
log2 + log10
0,301 + 1 
1,301
b)
log2.10^-4
log2 + log.10^-4
0,301 - 4
-3,699
c)
log3.10^-1
log3 + log10^-1
0,477 - 1 
-0,523
d)
log18 = log3².2
log3² + log2
2log3 + log2
2.0,477 + 0,301
0,954 + 0,301
1,255
e)
log45 = log5.3²
log5 + log3²
log5 + 2.log3
0,7 + 2.0,477
1,654
f)
log250 = log25.10
log25 + log10
log5² + log10
2log5 + log10
2.0,7 + 1
1,4 + 1
2,4