Which expression is equivalent to log3(x 4)?
Answer:
\(log_{m}(x^{4})\) = \(4\ log_{3} (x)\).
Step-by-step explanation:
Given: \(log_{3}(x^{4})\).
To find : Which expression is equivalent.
Solution : We have given that \(log_{3}(x^{4})\).
By the logarithm rule \(log_{b}(m^{n})\) = \(n\ log_{b} (m)\)
Here, b =3 , m = x, n =4.
Plugging the values in formula
\(log_{m}(x^{4})\) = \(4\ log_{3} (x)\).
Therefore, \(log_{m}(x^{4})\) = \(4\ log_{3} (x)\).