Question

Dado log 2=0,3010 e log 3= 0,4771 calcule
A) log 30
B) Log 8/log 9
C) Log 12/ log 4
D) Log 100/ Log 18

Answer 1

Ola 

A) log(30) = log(3) + log(10) = 1 + 0.4771 = 1.4771

B) log(8)/log(9) 

log(8) = 3*log(2) = 3*0.301 = 0.903
log(9) = 2*log(3) = 2*0.4771 = 0.9542

0.903/0.9542 = 0.9463

C) log(12)/log(4) 

log(12) = 2log(2) + log(3) = 0.602 + 0.4771 = 1.0791
log(4) = 2log(2) = 0.602 

1.0791/0.602 = 1.7925 

D) log(100)/log(18) 

log(100) = 2

log(18) = log(2*9) = log(2) + 2*log(3) 
log(18) = 0.301 + 0.9542 = 1.2552 

2/1.2552 = 1.5933

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