Question

Dados log 2=0,3 log 3=0, 47 e log 10 1 calcule

log 24
log 36
log 300
log 6000

Answer 1

Log 24 
Log 2³ x 3 
3 Log 2 x 3
3 Log 2 + Log 3 
3 x 0.3 + 0,47
1.37

Log 36
Log 2² x 3²
Log 2² + Log 3²
2 Log 2 + 2 Log 3
2 x 0.3 + 2 x 0.47
0.6 + 0.94 
1.54

Log 300
Log 2² x 3 x 5²
Log 2² + Log 3 + Log 5²
2 Log 2 + 0.47 + 2 Log 5 (Log 5 = 1 - Log2)
2 x 0.3 + 0.47 + 2x 1-Log2 
1.07 + 2 - 0.3 
2.77

Log 6000
Log 2^4 x 3 x 5³
Log 2^4 + Log 3 + Log 5³
4 Log 2 + 0.47 + 3 Log 5
4 x 0.3 + 0.47 + 3x 1- Log2
1.2 + 0.47 + 3 - 0.2
4.47