Answer:
[tex] \log_4 (x + 2) = \dfrac{\log (x + 2)}{\log 4} [/tex]
Step-by-step explanation:
Change of base formula:
[tex] \log_a x = \dfrac{\log_b x}{\log_b a} [/tex]
Changing to base 10:
[tex] \log_4 (x + 2) = \dfrac{\log (x + 2)}{\log 4} [/tex]
The expression that results when the change of base formula is applied to log₄(x + 2) is; log (x + 2)/log 4
We are given the logarithmic function as; log₄(x + 2)
Now, from the rules of logarithm, we know that;
logₐb = log b/log a
Thus;
log₄(x + 2) = log (x + 2)/log 4
Thus, the expression that results when the change of base formula is applied to log₄(x + 2) is log (x + 2)/log 4
Read more about Logarithmic Expressions at; https://brainly.com/question/25710806
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