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Logarithm Table

Source: 1981 National High School Mathematics League, Problem 8

February 20, 2020
logarithms

Problem Statement

In the logarithm table below, there are two mistakes. Correct them.
\begin{tabular}{|c|c|} \hline % after \\: \hline or \cline{col1-col2} \cline{col3-col4} ... lg⁡0.021\lg0.021&2a+b+c−32a+b+c-3 \\ \hline lg⁡0.27\lg0.27&6a−3b−26a-3b-2\\ \hline lg⁡1.5\lg1.5&3a−b+c3a-b+c\\ \hline lg⁡2.8\lg2.8&1−2a+2b−c1-2a+2b-c\\ \hline lg⁡3\lg3&2a−b2a-b\\ \hline lg⁡5\lg5&a+ca+c\\ \hline lg⁡6\lg6&1+a−b−c1+a-b-c\\ \hline lg⁡7\lg7&2(a+c)2(a+c)\\ \hline lg⁡8\lg8&3−3a−3c3-3a-3c\\ \hline lg⁡9\lg9&4a−2b4a-2b\\ \hline lg⁡14\lg14&1−a+2b1-a+2b\\ \hline \end{tabular}
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