A laboratory technician is calibrating a digital sensor that measures concentrations on a base-10 logarithmic scale. To set the reference baseline, the technician must calculate the value of the expression $\log_{10} 10$. What is the correct value for this setting?

In a computer science script designed to calculate logarithmic growth, a programmer needs to simplify the term $\ln e$. According to the Logarithm of the Base Property, the numerical value that should replace this term is ____.

A network engineer is analyzing data throughput using a logarithmic scale with base 20. According to the Logarithm of the Base Property, the expression $\log_{20} 20$ evaluates to 1.

Technical Documentation for Sensor Calibration

A database administrator is building a reference dashboard for software engineers who use logarithmic scaling in their algorithms. Match each mathematical expression related to the Logarithm of the Base Property with its correct descriptive principle.