Question

question 6 · 1 point
which expression is equivalent to \\(\log 9^5\\)?
select the correct answer below.
\\(\bigcirc\\) \\(5\log 9\\)
\\(\bigcirc\\) \\(5 + \log 9\\)
\\(\bigcirc\\) \\(9\log 5\\)
\\(\bigcirc\\) \\(9 + \log 5\\)
\\(\bigcirc\\) \\((\log 9)^5\\)

Explanation:

Step1: Recall logarithm power rule

The power rule states $\log_b(x^k) = k\log_b(x)$.

Step2: Apply rule to given expression

For $\log(9^5)$, $x=9$, $k=5$. So $\log(9^5)=5\log9$.

Answer:

A. $5\log9$