Question

express the given expression as an integer or as a fraction in simplest form. \\(\log_{7}\left(7^{1}\
ight)\\)

Explanation:

Step1: Recall the logarithm power rule

The logarithm power rule states that $\log_b(a^c) = c\log_b(a)$. For the expression $\log_7(7^1)$, we can apply this rule.
$\log_7(7^1)=1\times\log_7(7)$

Step2: Recall the logarithm identity $\log_b(b) = 1$

Since the base of the logarithm and the argument are the same (both 7), by the identity $\log_b(b) = 1$, we have $\log_7(7)=1$. So, $1\times\log_7(7)=1\times1 = 1$.

Answer:

1