Question

Dados log 2 = 0,3010 e
log 3 = 0,4771, calcule log 144

Answer 1

Notemos:

log144 =
log (2.2.2.2.3.3) =
log2 + log2 + log2 + log2 + log3 + log3 =
0,3010 + 0,3010 + 0,3010 + 0,3010 + 0,4771 + 0,4771 =
1,204 + 0,9542 =
2,1582 

log 144 vale 2,1582.

Answer 2

log 144 =  log(2^4 . 3^2 )

 4log2 + 2log3

4(0,3010) + 2(0,4771)

1,2040 + 0,9452

2,1492