Question

Sabendo que log a= -1, log b = 2 e log = 3 calcule o valor de
Log a.c/b?

Answer 1

isso vai se transformar em log a+log c - log b = -1+3-2 = 0

Answer 2

$log(a) = -1 \rightarrow a = {1 \over 10} \\\\ log(b) = 2 \rightarrow b = 100 \\\\ log(c) = 3 \rightarrow c = 1000 \\\\ log \left( {ab \over c} \right) = log \left ( {\frac{1}{10} \times 1000 \over 100 } \right ) \\\\ log \left ( {ab \over c} \right) = log \left ( {100 \over 100} \right) \\\\ \boxed{ log\left({ab \over c} \right) = 0 }$