Question

log de 0,001 na base 0,01 como realizar o calculo

Answer 1

Definição:

$log_{b}(a)=c~~\ \textless \ =\ \textgreater \ ~~b^{c}=a$
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$log_{(0,01)}(0,001)=x~~\ \textless \ =\ \textgreater \ ~~(0,01)^{x}=0,001\\\\(0,01)^{x}=0,001\\(10^{-2})^{x}=10^{-3}\\10^{-2x}=10^{-3}$

Bases iguais, iguale os expoentes:

$-2x=-3\\\\2x=3\\\\\boxed{\boxed{x=\dfrac{3}{2}}}$

Answer 2

Resposta:log(0,01)0,001=x

0,01x=0,001

(10)-²x=10-³

-2x=-3( igualando sinais)

2x=3

x=3/2.