Property 14
\(\log A=k+m\)
\(k\in\mathbb Z\quad\text{(characteristic)}\)
\(0\le m<1\quad\text{(mantissa)}\)
Example
\(\begin{aligned}\log A&=-3{,}46\\&=-3-0{,}46\\&=-3-1+1-0{,}46\\&=-4+0{,}54\\&=\overline4{,}54\end{aligned}\)
\(\Rightarrow k=-4\qquad m=0{,}54\)
1.
\(\log x=0{,}201\)
\(\Rightarrow\log(x^2)=?\)
2.
\(\log2\cong0{,}301\)
\(\Rightarrow\log8=?\)
3.
\(\log x\cong0{,}24\)
\(\Rightarrow\log\sqrt x=?\)
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.
\(\log(x^3)=6{,}12\)
\(\Rightarrow\log\left(\samefrac1x\right)=?\)
8.
\(\log x=2{,}24\)
\(\Rightarrow\log\left(\samefrac1{\sqrt x}\right)=?\)
9.
\(\log x=3{,}162453\)
\(\Rightarrow\log\left(\samefrac1x\right)=?\)
10.
\(\log(x^2)=6{,}72\)
\(\Rightarrow\log(x^{-3})=?\)
11.
\(\log(100\cdot x)=1{,}362\)
\(\Rightarrow\log x=?\)
12.
\(\log(10\cdot x^2)=0{,}8364\)
\(\Rightarrow\log\sqrt x=?\)