Question

sabendo que log 2 = a e log 3 = b,
calcule em funçao de a e b :

a) log 6
b) log 1,5
c) log 5
d) log 30
e) log 1/4
f) log 72
g) log 0,3

Answer 1

A ) log 6 =
log 3 × 2 =
log 3 + log2
b + a

B ) Log 1, 5 =
log 15 / 10
log 15 - log 10
log 3× 5 - 1
log 3 + log5 - 1
b + 1 - a - 1
b - a

C) log 5 =
log 10 / 2
log 10 - log 2
1 - a
D) Log 30 =
log 3 × 10 =
log 3 + log 10
b + 1

E ) log 1 / 4 =
log ( 2 ) - 2
- 2 log 2
- 2a

F ) log 72
log (2 ) 3 × ( 3 ) 2
log ( 2 ) 3 + log ( 3 ) 2
3log 2 + 2log 3
3a + 2b

G) Log 0,3
log 3 / 10
log 3 - log 10
b - 1