Question

dados log2 =0,3 , log3 = 0,48 e log5 = 0,7. calcule log250, log300, log150

Answer 1

Olá, boa noite!

$log250= log(25*10)=log( 5^{2}*10 )=log 5^{2} +log10=2*log5+log10$
$=2*0,7+1=1,4+1=2,4$

$log300=log(3*100)=log(3* 10^{2} )=log3+log 10^{2} =log3+2*log10$
$=0,48+2*1=0,48+2=2,48$

$log150=log(3*5*10)=log3+log5+log10=0,48+0,7+1=$
$=2,18$