I'm very confused about logarithm calculations. Here's an eaxmple: $890\times12.34\times0.0637=?$
All these are logs with base 10. The following logs were found from the log tables.
$log(890)=2.9494,\space log(12.34)=1.0913, \space log(0.0637)=\overline{2}.8041$
This is my calculation by hand:
$\begin{array}{r} &2.9494\\ +&1.0913\\&\bar{2}.8041\\\hline &2.8448 \end{array} $
$log^{-1}(2.8448) \approx 699.6 \space $
Which is the correct answer.
Yet just plugging into a calculator you get something else:
$2.9494+1.0913+(-2.8041)=1.2366 \\ log^{-1}(1.2366)\approx17.24$
Obviously this is wrong.
Why? I'm very confused about what's going on. I know it has something to do with the negative characteristic but can't see how.