An electronics technician is reading a technical manual that uses the logarithmic expression $\log V^5$ to calculate voltage gain. According to the Power Property of Logarithms, which of the following expressions is equivalent to $\log V^5$?

An acoustics engineer simplifying a noise level formula determines that the logarithmic expression $\log_{10}(I^2)$ is mathematically equivalent to ${}2 \log_{10} I$.

A laboratory technician is simplifying logarithmic data used to measure signal intensity. Using the Power Property of Logarithms, match each logarithmic expression on the left with its equivalent product form on the right.

Simplifying Financial Growth Models

A software developer is analyzing the time complexity of a data processing algorithm. The mathematical model for the process includes the term $\log(N^{100})$. To simplify the expression for a technical report, the developer needs to rewrite it as a product. The simplified term is written as ____ $\log(N)$.