Question

Qual resultado de log10
na base 0,1

Answer 1

$x=\mathrm{\ell og}_{0,1\,}10\\ \\ 0,1^{x}=10\\ \\ \left(\dfrac{1}{10} \right )^{x}=10\\ \\ \left(10^{-1}\right)^{x}=10\\ \\ 10^{-x}=10^{1}\\ \\ -x=1\\ \\ x=-1 \;\;\Rightarrow\;\; \boxed{\mathrm{\ell og}_{0,1\,}10=-1}$