Question

log Raiz de 0,001 na base 100

Answer 1

$\log \sqrt{0,001}_{100}=x\\ \\\ \sqrt{10^{-3}}=100^x\\ \\10^{- \frac{3}{2} } =(10^2)^x\\ \\\not10^{- \frac{3}{2} }=\not10^{2x}\\ \\2x=- \frac{3}{2} \\ \\\boxed{\therefore~x= -\frac{3}{4} }$

Answer 2

100^x=0,001 
10^2x=10^(-3) 
2x=-3 
x=-3/2 

a resposta é 3/2 ou 1,5