The formula to condense logarithmic expressions is:
\[ \log_b(M \cdot N) = \log_b(M) + \log_b(N) \]
Where:
A Log Condense is a term used in data management and analysis, particularly in the context of log files. It refers to the process of reducing the size of log files by removing redundant or less important information. This is done to save storage space and to make the process of analyzing the logs more efficient. The condensed log still maintains the essential information necessary for analysis or troubleshooting.
Example:
Step 1: Calculate the logarithms:
\[ \log_{10}(100) = 2, \quad \log_{10}(1000) = 3 \]
Step 2: Add the logarithms:
\[ \log_{10}(100 \cdot 1000) = 2 + 3 = 5 \]
