Answer :
Answer:
[tex]log_{m}(x^{4})[/tex] = [tex]4\ log_{3} (x)[/tex].
Step-by-step explanation:
Given: [tex]log_{3}(x^{4})[/tex].
To find : Which expression is equivalent.
Solution : We have given that [tex]log_{3}(x^{4})[/tex].
By the logarithm rule [tex]log_{b}(m^{n})[/tex] = [tex]n\ log_{b} (m)[/tex]
Here, b =3 , m = x, n =4.
Plugging the values in formula
[tex]log_{m}(x^{4})[/tex] = [tex]4\ log_{3} (x)[/tex].
Therefore, [tex]log_{m}(x^{4})[/tex] = [tex]4\ log_{3} (x)[/tex].