Question

score: 0 of 1 point
rewrite exponents as factors using the power rule of logarithms.
do not evaluate the logarithm.
\\(\log_{5}(x^{11}) = \\) enter your answer \\(\sqrt{x}\\)

Explanation:

Step1: Recall the Power Rule of Logarithms

The Power Rule of Logarithms states that \(\log_{a}(M^{n})=n\log_{a}(M)\), where \(a> 0,a
eq1,M>0\).

Step2: Apply the Power Rule

For the expression \(\log_{5}(x^{11})\), using the Power Rule with \(a = 5\), \(M=x\) and \(n = 11\), we get \(11\log_{5}(x)\).

Answer:

\(11\log_{5}(x)\)