Question

Determine o valor do log de 0,002 ?

Answer 1

$log_{x}(a/b)=log_{x}(a)-log_{x}(b)$
$log_{10}(x)=log(x)$
$log_{b}(a^{n})=n*log_{b}(a)$
$log(10)=1$
$log(10^{n})=n$
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$\boxed{\boxed{log(2)=0,3010}}$

$log(0,002)=log(2/1000) \\ log(0,002)=log(2)-log(1000)$
$log(0,002)=0,3010-log(10^{3})$
$log(0,002)=0,3010-3*log(10)$
$log(0,002)=0,3010-3*1$
$log(0,002)=0,3010-3$
$log(0,002)=-2,699$

Answer 2

log 0,0002= log 2/ 10000
log2- log 10000
log2-log 10∧4 >>log 10 ∧4=4
log2 -4
log 0,0002
log 2-4