A logistics analyst is simplifying a growth model for a shipping company that includes the expression $\log(x^{15})$. According to the Power Property of Logarithms, which of the following expressions is the correct way to rewrite this as a product?

In your role as a junior business analyst, you are helping to simplify expressions in a spreadsheet used for tracking compounding growth. Match each of the following logarithmic expressions with its equivalent product form based on the Power Property of Logarithms.

A laboratory technician recording experimental data needs to simplify the expression $\log_2(3^7)$. True or False: According to the Power Property of Logarithms, this expression is equivalent to ${}7 \log_2(3)$.

Algorithm Complexity Simplification

A computer technician is updating a technical manual and needs to simplify the expression $\log_2(n^{32})$ using the Power Property of Logarithms. According to this property, the exponent of the argument is moved to the front of the logarithm as a multiplier. To rewrite the expression correctly as a product, the technician should write ____ $\log_2(n)$.

Explaining Logarithmic Simplification to a Colleague

A junior data clerk is updating a formula in an inventory management spreadsheet and needs to rewrite the logarithmic expression $\log(x^{12})$ as a product. Recalling the Power Property of Logarithms, arrange the steps in the correct order to expand the expression.