Property 15
Cologorithm
\(\log A=x\)
\(\operatorname{colog}A=-x\)
All of the properties of a logarithm are valid also for cologorithm.
\[\operatorname{colog}A=-\log A=\log\samefrac1A\]
1.
\(\log x=\overline3.14\)
\(\Rightarrow\operatorname{colog}x=?\)
2.
\(\operatorname{colog}x=\overline2.3101\)
\(\Rightarrow\log x=?\)
3.
\(\operatorname{colog}10000=?\)
4.
\(\operatorname{colog}x=3\)
\(\Rightarrow x=?\)
5.
\(\log A=1.6\)
\(\Rightarrow\operatorname{colog}A=?\)
6.
\(\operatorname{colog}x=2.5131\)
\(\Rightarrow\log\sqrt[3]{x^5}=?\)
7.
\(\operatorname{colog}x=\overline2.1036\)
\(\Rightarrow\log\sqrt[3]x+2\log\sqrt[6]{x^2}=?\)
8.
\(\log(x^2)=2.782\)
\(\Rightarrow\operatorname{colog}(x^3)=?\)
9.
\(\log x+\operatorname{colog}y=8\)
\(\log x^2-\operatorname{colog}y=-5\)
\(\Rightarrow x\cdot y=?\)