Property 14
\(\log A=k+m\)
\(k\in\mathbb Z\) characteristic
\(0\le m<1\) mantissa
Example
\(\log A=-3.46=-3-0.46=-4+1-0.46=-4+0.54=\overline4.54\)
\(k=-4,\ m=0.54\)
1.
\(\log x=0.201\)
\(\Rightarrow\log(x^2)=?\)
2.
\(\log2\approx0.301\)
\(\Rightarrow\log8=?\)
3.
\(\log x\approx0.24\)
\(\Rightarrow\log\sqrt x=?\)
4.
\(\log x=3.42\)
\(\Rightarrow-\log x=?\)
5.
\(-\log(x^2)=2.44\)
\(\Rightarrow\log x=?\)
6.
\(\log x=\overline1.24\)
\(\Rightarrow\log(x^2)=?\)
7.
\(\log(x^3)=6.12\)
\(\Rightarrow\log\samefrac1x=?\)
8.
\(\log x=2.24\)
\(\Rightarrow\log\samefrac1{\sqrt x}=?\)
9.
\(\log x=3.162453\)
\(\Rightarrow\log\samefrac1x=?\)
10.
\(\log(x^2)=6.72\)
\(\Rightarrow\log(x^{-3})=?\)
11.
\(\log(100x)=\overline1.362\)
\(\Rightarrow\log x=?\)
12.
\(\log(10x^2)=0.8364\)
\(\Rightarrow\log\sqrt x=?\)