which expression results when the change of base formula is applied to $log_4(x + 2)$?\n$\frac{log(x +…

which expression results when the change of base formula is applied to $log_4(x + 2)$?\n$\frac{log(x + 2)}{log4}$\n$\frac{log4}{log(x + 2)}$\n$\frac{log4}{log x+2}$\n$\frac{log x+2}{log4}$

which expression results when the change of base formula is applied to $log_4(x + 2)$?\n$\frac{log(x + 2)}{log4}$\n$\frac{log4}{log(x + 2)}$\n$\frac{log4}{log x+2}$\n$\frac{log x+2}{log4}$

Answer

Explanation:

Step1: Recall change - of - base formula

The change - of - base formula for logarithms is $\log_{a}b=\frac{\log_{c}b}{\log_{c}a}$, where $c$ can be any positive number other than 1. Commonly, $c = 10$ (common logarithm) or $c=e$ (natural logarithm). For $\log_{4}(x + 2)$, applying the change - of - base formula with base $c = 10$ gives $\frac{\log(x + 2)}{\log4}$.

Answer:

A. $\frac{\log(x + 2)}{\log4}$